I hate to say it, but you should really consider taking a long hard look at yourself if you're constantly getting 24 hour MM bans.
I have only been muted once in my entire Dota career, and I have been playing since November 2011. I have gotten LPQ, but that has always been abandons, most of which were not my fault.
I get that the way your teammates play can sometimes be frustrating, and sometimes you look at their items or skill build and are shaking your head, but the game is still winnable. I've won games with intentional feeders before. The #1 thing you DO NOT want to do is go "Fuck you I'm not supporting this shit/I don't trust noobs to carry/I won't help you in any form or fashion and blame you for falling down on the job" It does not matter if they are somehow 6k and play like a 1k. I watched the video of Purge coaching SirActionSlacks and Purge said something that made a lot of sense when Slacks asked about supporting when it seems like the carries always fall down on the job. To paraphrase, basically you want to give them the easiest game possible where even if they do fuck it up, you can still win it. You don't want to say "Fuck you you're doing the skill or item build I don't like, I'm not supporting you, no wards for you, enjoy dying to their aggro trilane"
I know the above advice sounds like it only applies for supports, but it absolutely applies for any role in the game as you are playing Dota, which it turns out is a 5-man team game. If you're playing a core, this means things like letting the supports get the Observer Ward kills so they get the money to buy their stuff, you're playing mid, and your safelane is getting steamrolled, you should be able to help them if they need it (and you reasonably can help them). The list goes on.