Just saw the recent post and thought I would share what I believe to be the best method here in the states. localbitcoins can be a real pain in the ass if youre trying to remain anonymous as you need continual feedback for it to be effective which includes having a real email address to link to. You can't really use TOR for fear of MMITM attacks either. Ive been using this method below for months now with no issues.
This uses cashtocrypto.com who is also one of the top rated sellers on localbitcoins. There prices on their site are usually about $15 over bitstamp price but when you consider fees that will be implemented at other places it still is realtiveley comparable. Of course coinbase/circle are the cheapest but if youre using those for DNM purchases you are a dummy. Yes there are tumblers but then you have those fees still added. Not to mention you now have hard evidence that you bought BTC even if those coins aren't directly linked back to you. And you still run the chance of having a tumbler deannonymized. Why not just skip all these possibilities?
The process goes as such...
1: Go to cashtocrypto.com from TOR. Youll have to disable no scripts or whitelist the site for the order process to work correctly. Go to "Buy Bitcoins" and type in all the info. The ONLY piece of correct information needed is your BTC address. The name/email can be completely fake youre just going to need to remember whatever the email is for reference later. Select whatever bank is convenient for you to deposit to.
2: After submitting this you will be lead to a confirmation page. You will be given a Order ID # along with the bank account # and the name that goes with that account. Youll need to remember all 3 of these things. The bank account #/name to deposit the actual $ and the order ID # for verification on the site.
3: Do this BEFORE you go deposit the money. We all know MMITM attacks are quite possible over TOR exit nodes, especially with BTC addresses. Therefore create a new connection to TOR and go back to cashtocrypto. Go to the "Order Status" tab and type in the order ID along with the email you used. Now make sure the BTC deposit address is the same as you used. I like to do this process multiple times to verify. Just make sure you actually create new TOR connections each time otherwise this whole step is worthless.
4: Now go deposit the $ in the bank. Make sure you keep the receipt. Write "for bitcoin from cashtocrypto" on it along with the order ID #. You'll need to take a pic to upload to cashtocrypto to verify. I would suggest scrubbing the exif data before uploading. This can be done easily if you take the pic with the phone. Just search the app/play store for "exif" and youll find plenty of apps to do so.
5: Once you have the pic with scrubbed exif data throw it on your computer. Go back to "Order Status" section on cashtocrypto via TOR and type in your order information again. You'll see a section to upload your receipt pic so do that.
And that's it. Youll receive your BTC between 8-10pm est. I've noticed the earlier I deposit the closer to 8 I get it. Same goes for later as deposits closer to bank closing time don't show up in my wallet until right around 10.
Like I said in the other post mentioned by OP, on LBC just browse for the seller who have a contact number and contact them directly to bypass LBC.com altogether.