Depending on the size of the room, and the location of the microphones, and the tone of the room and how it relates to the drum sound you're trying to achieve... more often than not, there will be no problems at all. The distance will [more often than not] make the 'ambience mics' a "random phase event"... especially if the reflections are outside of the Haas Effect parameters [tmix's post would have you putting random phase events within the scope of Haas Effect anomolies... which can be cool... but more often than not, isn't].
Keep in mind that if you're working in a small and boxy sounding room, then the event is going to sound small and boxy [which isn't necessarily a bad thing... didn't seem to be too much of a negative even on Led Zeppelin's "Ramble On"... but understand what you're walking into].
You can try to do all kinds of funky manipulations in a DAW... in my experience, it usually creates more problems than it solves... but golly, you have the power, might as well abuse it.