It's not DC offset, it's the instrument; and it's normal.
The reason your waveform is "lopsided" is because the action of the drum skin itself is lopsided. Put perhaps a little oversimply, the mic diaphragm is simply copying the action of the drum skin, which is being pushed in farther than it recoils back out. That is reflected in an electrical signal that is stronger to one pole than the other. if you moved the mic to the other side of the drum skin, you'd likely see the lopsidedness reverse polarity.
You could "even it out" by limiting the signal at the maximum level of the quieter side of the wave, but there's no guarantee that you'd actually like the resulting sound.
I'd not worry about the level asymmetry. That's the nature of the beast. Just process as you need to to get what your ears want and let the visuals fall where they may.
G.