When to pick certain offlane hereos

There are some offlane hereos that have no escape mechanism, such as Beastmaster, Tidehunter, and Lone Druid.
Is there any specific composition of opposing trilane that they are a good pick against and won't get killed too much?

Beastmaster is good on Dire side because he can stack and farm ancients.

I didn't see offlane Tidehunter too much, he's pretty strong 1 vs 1 though, being durable due to his passive Kraken Shell.

Lone Druid is a good offlaner because he can pull the enemy creep wave in the tower and farm it easily combining his damage and the bear damage.

If you see a Beastmaster going on the offlane dire though it seems all you need to do to stop it is ward the ancients and then he's going to get a very bad start.

Other two make sense now, thanks.

Beastmaster can stack ancients on Radiant side as well - just use the boar, while BM soaks up EXP in lane.

Even Lone Druid has really dropped off in popularity as an offlaner vs a trilane because of the bear bounty increase. With beastmaster, you can use your boar to stack ancients and block creep camps (same thing with Natures Prophet) as well as pull the creep wave around between your towers (up past ancients on dire, it's harder on radiant)

Dont like Lone Druid as an offlaner after the bear bounty increase. Never liked Tidehunter there at all.

Beastmaster is very hard to gank due to hawk, can stack/prevent stacking with his boar and have a strong early nuke in axes.

Beastmaster is a decent offlane at best, you don't see him there competitively anymore because it's such an easy counter, and even with the hawk vision, he's so easy to gank before that point. You need 3 points in Call of the Wild for your Hawk to truly be of any usefulness, and if you're stacking ancients, you're maxing your Wild Axes. So the enemy has until level 9 to gank you before your hawk can really spot anything (and even after that it's not a get out of jail free card for ganking, there are many ways around the hawk). That's also considering that if the enemy has a strong lane, the only EXP/Farm you're going to be getting is from when the lane pushes to your tower, and once you have your soul ring, then you can commence farming ancients. Now, all the enemy has to do is slap an observer there and suddenly your only source of xp/income is coming from when the lane pushes to your tower, and if it's a strong lane, they can probably easily dive you and kill you. He is naturally tanky and has high armor, but once pros learned how easy it was to stop offlane beastmaster, we really only see him as a mid and sometimes a semi-support that spends a lot of time in the jungle stacking.

As for OP's question, the only real hero that fits in really well against specific trilanes/enemy compositions is Broodmother. She is phenomenal at lane control if you're skilled with her, and even if they place sentries, I often find that I can still fight the enemies and harass them out of lane, just be careful not to overcommit to anything. If the enemy has low AOE, nothing that can kill your spiderlings quick and easy, she is a good pickup. If they can farm them quick and easy, probably a really bad idea to pick her.

If the lane is rather squishy, an Undying can have a field day, he can be an utter wrecking ball against hard carries like spectre, anti-mage, faceless void etc.
Puck is a reliable offlaner, that can be a major pain in the *** with phase shift, orb, and silence.
Bounty is rather good, just be wary of sentries.
Windrunner has an awesome nuke and escape, another decent hero, just avoid trilanes that have something like shadow demon who can just disrupt you, allow them to flank you and probably get you killed.
Timbersaw can be a nuisance in the offlane with his hook and reactive armor making him pretty damn hard to kill.
Mirana is pretty good, takes some skill to play her well in the offlane, she's very punishing if you make a mistake, but getting her levels safely will allow you to get a global smoke on a decent cd for your team.
Magnus can do well with a bottle and the occasional crowing
KoTL can stand back safely and blow up creep waves, cast chakra on himself..rinse lather repeat.
Dark Seer is probably the best offlane hero in Dota, scary good in the hands of skilled players.
Elder titan is awesome, can farm and harass with his ancestral spirit, and the extra levels get him his devestating ultimate quickly.
Broodmother, eh, she's good, countered hard with sentry wards, and not to hard to kill with a lot of the trilane setups prevalent today, she has her merits though
Batrider is a nuisance in the offlane, imbalanced as **** IMO
Lifestealer can rock an offlane if you're into that sort of thing, and have a stronger hard carry farming safely.
Templar assassin can do well with refraction, meld, psi blades , and solid move speed, she can harass and farm while refracting damage, but her range can get her killed.
Lone Druid can still offlane like a boss, the bear is a huge target with a 300g bounty, but once you can recall him it's not bad, you can still pull and farm with syllabear, and he still a monster.
Natures Prophet as proven by Admiralbulldog can offlane like a champ, really isn't anywhere this hero can't lane.

It's a long list of heroes that can successfully long lane solo, It just comes down to what your team needs, what you're comfortable with, and choosing specific counters