Just a point of correction. Localethereum was rebranded to localcryptos.com. They so far support p2p trading of 4 cryptocurrencies that's Bitcoin, Ethereum, Litecoin and DASH.
As for the part of Bitcoin fees on the platform. I like the fact that one is able to adjust the fee rates when send a transaction out to an escrow. You will pay low fees, just makes sure your transaction does not have so many inputs.
You can also easily export private keys of addresses that contain your funds