This shouldn't be an issue if the ranks are simply assigned by looking at how your MMR compares on a bell curve to all other players in the pool that week. Judging by the new distribution, it seems to work this way now.
I doubt it works like in League where you have to earn X points to go up a...
Ranked is seeded from your unranked MMR. There aren't actually any calibration matches, you just need a minimum of seven matches to get your rank calculated for that week. If your win rate is really that high you should climb out of Initiate fast.
In my experience, games aren't actually unwinnable until they are nearly over. No one has ever held any of my games hostage, or even tried to. If my team is incapable of beating the other team, we lose very quickly.