what problems could I face if I sell such small amounts via CC without requiring any kind of ID verification?
Almost nothing. Compare with the shops online, how often do you see a merchant asking your ID to complete your purchase. also now the majority of cards send an SMS for online transactions
I think he will experience to receive a stolen money or hacked credit card so, if you don't have a KYC or ID verification you will be chasing by FBI because you are the recipient of stolen money who doesn't know the identity of the owner.
So, what information can you give to FBI if you don't have a KYC and ID verification?
If you do not have any information to give I think you will be arrested.
That is why almost all exchange site is asking for KYC or ID verification.
Why is no-one else offering this?
There is.I used one long ago.
I never heard that there is a website that offers like this, but if it exists, maybe there is a way to deal anonymously.