I too run openweb-ui locally and use deepinfra.com as my backend. It has been working very well, and I am quite happy with deepinfra's pricing and privacy policy.
I have set up the same thing at work for my colleagues, and they find it better than openai for their tasks.
Yeah, openweb-ui is the best frontend for API queries. Everything seems to work well.
I've tried LibreChat before, but the app is terrible at generating titles for chats instead of leaving it as "New Chat". Also it lacks a working Code Interpreter.