Technically the Philmont rules do not preclude you using a floorless tent on your trek and there are quite a number of folks (including myself last summer) who used floorless tents at Philmont.
That said, let me suggest you use at least a ground cloth if not a bathtub floor inside your Duomid, for a couple reasons.
– Philmont really wants you to have a floor in your tent (doesn't have to be attached to the tent) but they worry about someone getting Hantavirus from rodent droppings from sleeping right on the ground.
– We found during those hard afternoon rains that streams of water can run under your tent. You don't want your sleeping bag or quilt getting wet.
I always staked my floorless tent right to the ground to discourage the ever-present chipmunks (mini bears) from running through my tent.