I am skeptical that such a URC exists. If you can borrow an original remote, you can teach a "learning" remote each key.
If you cannot find an original remote, there may be a clone remote available. My clone remote only cost me $24 (at Amazon). And I have since downloaded three additional, complete profiles (for free).*
- URCs do not typically offer complete profiles (though some allow custom programming).
- Most are geared toward AV/home entertainment, not other types of systems.
*It holds four and I have decommissioned one because it was the incorrect type.