Properly designed large rooms with plenty of absorption and diffusion don't necessarily sound reverby. Since there are relatively few early reflections you can get well-focused and intimate drum sounds with a lovely sense of airy openness. Of course, you can use ambient microphones too, then when you add the ambience to the close mics you can achieve a big, roomy sound without losing detail or crispness.
Try enhancing the dynamics of mixes by keeping the drums tight and close in verses then adding the ambience tracks for choruses. For room ambience, omnidirectional condensers and ribbon mics work really well and you could try spaced stereo or coincident techniques.
Mono ambience is nice also, so try setting up a ribbon directly in front of the bass drum with the deaf side pointing towardsthe kit. Ambience mics often sound better placed in corners, just above the floor. This beefs up the bass and the cymbals won't dominate the overall balance of the kit. You can also change the apparent 'size' of a room by moving the ambience tracks forwards or backwards in time relative to the close mics. This is easy in most DAWs. Manipulating the recording in your DAW can be key to creaĆŁing the impression of size arid space in a track.