Honestly, why not just go all in and get the 1×11 Shimano Deore M5100 drivetrain with 11-51 cassette. You can get the 4 piece Deore M5100 drivetrain (shifter, derailler, 11-51 cassette, chain) for $165 on ebay. The Deore M5100 won’t cost much more but will likely be better in almost every way.