I am fairly certain you are routing your invoices along this path: Recipient-> Nostr relay-> getalby.com-> LNBits web server-> you LN node.  I don't think LN bits can natively talk to a Nostr relay unless you paste that Gian LNURL into something like Amethyst. (most Nostr cloents have depricated LNURL for Lightning addresses). A lightning address needs a web server and a domain to host your invoice received data. 

if you don't trust any company you must host your own domain. Have some sort of web server on 24/7. use a program like Zaplocker to catch invoices and forward them to your Lightning node. and connect that to your LND instance. 
NWC and LND hub seem to be the most open and free software that does this but I understand the apprehension.