The usual way a business handles this is to register as a corporation, and that's what gives out its address and contact info, not your home. A registered business can have an address elsewhere, at least in the US.
There are many ways to collect money in an app without putting that app in the Play Store. Perhaps a web app without outside payment and an auth system would serve you better.
Exposing your name and particularly your address publicly is just plain stupid in most scenarios, virtually zero point in doing so.