Creating a self-contained binary

I have a program (fldigi, pointed to by the github link) that uses dozens of shared libraries. I would like to be able to distribute a pre-compiled version of the program for testers. I could require each tester to install the shared libraries and compile the program for themselves, however, this would be extremely difficult for most users. What are some options for distributing a pre-compiled version of a linux program? Do I need to make a package for common distributions or common versions of each distribution? How about snap, nix, or flatpak? I don't have much experience with using docker or preparing docker containers, and the particular program (fldigi) requires access to system hardware to function, which a containerized version would have to accommodate.

This is going to be a temporary solution and I hope once the program is done being tested, my changes can be pulled upstream and then distributions will include it that way.