Sometimes it pays to be simple, the less mics you are using the less chance there is for phase cancellation. If you dont know much about the technical side of recording I would recommend only using a 1 kick, 1 snare, and 2 condenser mics overhead, preferably a large diaphram condenser but I have used 2 pencil condensers and they sounded great. Would also recommend a large diaphram condenser at the other end of the room and then adjust the level in the mix, gives it a great, open, natural reverb. But even with all the technology that is out there it all comes down to how the drums are tuned. I would definitely recommend getting the best possible wide open sound out of your drums before you ever start worrying about mics and placement. Also to answer the question about not having many inputs on a mixer - do live takes, your drums will definitely get picked up by the amp mics and vocal mics, which might not be good for the other band members sound but they can always go back and overdub.
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