I am now using MEXC exchange which does not require KYC maybe OP can try it?
With Ratimov's review it is clear to me.
Yes why not use DEX has many USDT-trc20 networks available even it is simpler than CEX, I hope you can take good advice because maybe you will exchange more USDT as you mentioned.
Most non KYC CEX have daily withdrawal limits. MEXC is definitely a good exchange but they have a withdrawal limit of 5BTC per day. Unfortunately, is not available for US citizens unless the OP can use VPN.
Have you tried ascendex?
Not trying to advertise, i used them once like 3-4 years ago because of some shitcoin. Few months ago I remember of this exchange and i find my crypto still there after so long not using the exchange. I think they changed the name, it was called something else in the past. Anyway, i had some small amount of eth and i tried to withdraw, worked like a charm. I dont remember the limits now, but it's worth to try.
Always remember, cex are not 100% safe, don't hold crypto there for long.