Use a Bitcoin ATM. problem solved!
Yeah and ATM or LocalBitcoins would be 2 ways. However I wouldn't recommend those scammer owners of LocalBitcoins. Read my past posts.
Couldn't find anything really in your post history about the owners of LocalBitcoins, what happend?
Also, on localbitcoins you are in no way dealing with the owners of the site, rather peer2peer.
You don't even need to use their escrow system if both parties agree, thus it could still be a risky, but viable option if you don't want to use your ID.