Instead of eliminating MMR fitness range, maybe instead increase fitness range proportionally with distance from the average (mean) MMR. For example, players within 1 standard deviation might have a narrow fitness range of ±100 MMR while the minority of extremely-high MMR players would end up with a much wider range, reflecting the fact that their are fewer players within that range who they could potentially join. This would retain the intention of the current system, creating balanced matches between comparably skilled players, while reducing some of the problems you are experiencing.
I don't think the population can support anyone being locked to +/- 100
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