Josh Clark here, the developer of Big Medium. I can't speak specifically for the FutureQuest server configuration, but I can say that Big Medium runs well in pretty much any hosting environment (the one exception I've encountered has s been Yahoo hosting, which is a generally funky environment for *all* scripts and software).
Big Medium's server-requirements page
includes a little test script that you can install to check for the basic and recommended requirements. If that script gives you the go-ahead, you shouldn't have any trouble installing Big Medium in your hosting account.
Hope that helps! As always, please feel free to give me a shout
if you have any questions or otherwise run into any problems.