easiest solution I found was building SBCL targetting an old glibc using zig as the c compiler:
CC="zig cc -target x86_64-linux-gnu.2.28" LD="zig cc -target x86_64-linux-gnu.2.28"
zig bundles in all the glibc headers, so I think it should build on musl libc-based distro
for more complicated programs with native dependencies there is (https://github.com/Shinmera/deploy) or guix has a lot of CL libraries already and it's fairly easy to write packages for others, you can specify all dependencies with guix and use guix pack to get a .tar with all dependencies you can unpack and run on any other linux box