Coinomi supports all Bitcoin forks, but BTCH is not there.
BTCH is a merge fork of 3 separate assets into a Komodo ~250MB asset chain, it is cutting edge stuff, it will take a while for exchanges to work out how to list it, we need to be patient, exchanges are all overwhelmed now, they go for the low hanging fruit first i.e the easy forks
afaik the best way to access BTCH is via BarterDEX (that's how I got my bitcoin gold), from there you can send to exchanges when they're ready.
BTCH is clearly the most advanced fork to date, give it time.