A solution I’ve used for the glibc problem, is to build on an older distribution in a chroot. There is also this project which might be of use to pick a specific version of glibc. The project README also explain how to do it manually.
As for distribution, I prefer something like makeself.sh, that installs to either ~/.local/ or if it is to be installed system-wide to /usr/local or /opt. The concept is just a small shell script appended with a compressed archive, it is easy to modify and even create by hand using standard tools like cat. This is a method widely used by native Linux games.
Unless someone has registered the trademark for those specific purposes you’re clear. A trademarks is only valid within a specific field of purpose. Trademarks are there to avoid consumers mistaking one brand for another.
There are a lot of entertaining articles on Techdirt about companies not understanding trademark law.