3v3 Gamemode?

So I've dabbled in both league of legends and vainglory. The main thing I like about them is the 3v3 gamemode. In DOTA, we have gamemodes like ardm, ability draft and mid only, but I'd be curious to see what kind of a meta would develop if a map was map specifically for said gamemode (ie, something like lol's twisted treeline). So, am I the only person who'd be interested in DOTA 2 having this sort of game mode or is it even feasible with DOTA 2's roster of heroes (lol and vainglory have basically no split pushing heroes)?

yes.

but different maps. current map is too big for three.

Maybe no roshan and make the map size like vainglory, less structure inside base. Make everything mini!

Also maybe have pushing heroes like furion, Tinker, Naga Siren or Lycan be blacklisted in 3v3 or at least have their pushing capabilities nerfed just in 3v3 (leaving their normal abilities untouched in 5v5) and maybe limit each team to a certain amount of pushing items (ie, only one hero can build a necrobook or a Radiance and so on).

Would solve the problem that nobody wants to play support in pubs. Since in 3 v 3 everybody can farm a lane, there's no need to play supports xD

I could see if there was a smaller map, no rosh, maybe less towers and stuff. However, in the current map (even if it was smaller but with the same features) I just don't see it happening. DotA is a team game, correct? And a good support or a bad support can change the team dynamic, correct? So by not having two or three to each lane, you strip away some of the early laning stage rage and success that makes DotA... well... DotA.

Tryndamere OP.

I generally didn't like Twisted Treeline, but I don't see why the option can't be available for other people.