You really need to see a Tiger for yourself.
Contact Provan or the Tigermotorhomes user group on Yahoo. There are several on the West coast.
Been a biker, tour, road, and even some very minor racing, for years and have never liked external mounts - crud, damage to the bike, etc. That said, the Swagman is specifically shown with a carbon fibre road bike. You might want to consider a combo system - some form of fork mount inside for actual travel or parking in difficult places and, counterintuitively, an exterior rack to use when parked/camping. I haven't measured, but I am pretty sure you could get two road bikes mounted as I described, but you couldn't camp that way, so you would need somewhere to stash the beasts when cooking, etc.
Good luck!