Good advice here on solving your "problem". I would like to put forth the notion that perhaps you should embrace the ring. Unmiced, ring is what makes the drum sound full of life and allows it to speak in it's own unique way. Limiting the ring, limits the drum, killing the ring kills the drum. That's a fact. That ring is your best friend. Unmuffled well tuned ringing drums sound beautiful.
Muffling drums is selfish. You're depriving the audience of the very best frequencies that your drums are capable of, and hamstringing your own sound on purpose.
I suggest making a recording of your drums, in a band setting, unmuffled and muffled. Make sure the mic is where the audience would be and listen for yourself. If you still prefer the unmuffled sound then I will concede.
I apologize if my attitude is harsh. I just detest seeing guys desecrate beautiful drum sounds on purpose.
I am referring to unmiced situations only.
Miced situations....I still prefer open drums whenever possible, but there are other factors to consider. Unmiced always sounds better unmuffled in the audience.