We could change an existing buildbot, say one of the snakebite buildbots, to add a `make install` and run the tests from it.  I don't think it should be very difficult.  Just make sure ./configure --prefix= has a reasonable value like a dedicated directory (rather than /usr/local), avoid --enable-shared, rm -r on the prefix directories prior to the `make install` step, and cd to some clean directory (other than the source or build directories) then run the tests from `<prefix>/bin/python -m test (or test.regrtest for 2.7) ...