For simple avoidance of KYC this guide it what you want to have a look at and read carefully. If you need the non KYC for something more I would suggest you to study carefully each and every post / reply in this thread.
Traces? there will be a transfer your bank account. Only you and the seller know what it's for. Cash deposit is also an option but some banks might ask for ID.
All amounts above 50K EURO / DOLLAR requires KYC there is no way around if you use the normal exchanges, tried many of them the last months, some let you do up to 3000 before KYC kick in.
i ran into this issue with using mexc until later last year they added mandatory kyc for all accounts. still much better than coinbase as they have the most problems.
I have not been able to pass KYZ with coinbase, they have huge system errors which don't let me upload or execute verification. Gave up and moved to kraken and binance.