Something like this already exists and it's called Kollider.
They are also working on Kollider wallet, that should work for for quick swap, send and receive coins.
On exchange you can find Synthetic Stablecoins Euro and USD that are backed by Bitcoin.
Everything is in Beta phase, so you can expect some bugs along the way, but I think this is good move forward.
-snip-
Have you used them yet? I haven't seen your post until now. I made a topic about them earlier today after coming across them on Twitter.
[1] https://bitcointalksearch.org/topic/kollider-a-lightning-native-exchange-5422825