I'm in bronze 3/4, max of Bronze 1. I most definitely qualify as low-ELO. I rarely see anything remotely along those lines. Sure, there are a-meta and suboptimal picks, but even finding a regular feeder or AFK is rare (barring Twisted Treeline and Co-op Vs. AI, that is, since those two modes are 80% bots). So it's a huge stretch to say it happens many times for low ELO at all. One in ten matches at the most, closer to one in twenty-five on average.
Assuming a 1/10 at most, and going with @darkdemon653's convenient (yet quite probably false) statistics, that means you can reset the timer three times over between trolls.
And, given your post:
Lots of sucky matchups that I'd like to avoid
You're caring less about not playing with trolls and more about not being put against someone you don't like to fight.
Dodging should be your LAST desperate maneuver to avoid a complete and total train wreck. It is NOT to avoid bad matches. It is not for avoiding playing with unranked players. It is not to avoid a teammate with an off-meta pick. It is a desperate measure to avoid a blatant and overt troll.