Exodus is already too expensive but this site godex is just way over the top.
For small amounts binance works. They usually dont lock accounts if no privacy coins are involved.
If you are looking for bigger amounts you should go a different way.
Do it insmall chunks of 0.2 BTC and never withdraw the money seconds later.
In the worst case you have to verify the account. A nominee from most countries is good enough for this. The probability of a locked account is towards zero.
no kyc but not without verification, if your bitcoin are tainted there is a risk they lock your btc and request that you do kyc.
I wouldn't use the full current value of 2 BTC withdrawal, this will be reduce soon most likely. stay behind the limit of 10k USD withdrawal to be sure.