Maybe one of the dozen or so anon coins? Monero, anyone? lol
You could send btc to btc-e,
I do no have account at BTC-e.
IFAIK
a) you do not have to KYC/AML if you are only using cryptocurrency (no bank transfers) ... you can have anonymous account.
b) you do not have to buy ltc, buy btc again in case you are mixing bitcoins. => It is same without selling and buying back. (does not mean perfect anonymity)
I thought it might add an extra layer of plausible deniability "just in case." But no, not completely necessary. In the future, if crypto continues to gain value, early adopters might be a target for tax authorities. And anyone posting here, now, counts as an early adopter. Can't be too careful.