There should be no need to remove your home installation in order to test this.
The only two things necessary to "clean the environment" are:
1) Either don't install the shortcut, or remove (rename) any custom you have made yourself
2) Remove (or rename) /usr/lib/wine/wineasio.dll.so so LinReaper doesn't register that one instead of the one included
Thanks again for testing
P.S. I really hope we can get this working properly. If we can, and Cockos allows me to repackage Reaper for the installer, we can actually produce a one-click-installer for Reaper on Linux! That to me is exciting