I had problem this with my ILs.
FIL already had a name picked out and MIL thought we were going to name it after her. Luckily SIL used MILs name so that was a non-issue and we just ignored FILs name.
In the end, to keep it fair, we picked names that weren't from either of our cultures. FIL still tried to call Yasin by his name but Yasin never answered to it so he's given up lol.

I don't see any reason to give your child a Chinese name if you don't like any of them but to me it seems fair that if you reject your DH's culture when you select names that you should also reject your own.