Here's what I'd do for the drumhead. This is a .4" board, it could be smaller if it didn't fit in the drumhead. Three bare boards are 80 cents at OSHPark. I used 0603 sized LED's, they could be the next size larger and still fit on this board. The resistor is selected for the intensity you desire, probably a fairly high value for something as small as a drumhead. The board is .03" thick. The LED's are only a couple mm tall. The board could also include a standard diode so it would run directly from track power. You could also reverse the polarity of a couple of the LED's and eliminate a separate diode for AC operation.
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