Well I think part of Gadd's sound is his technique. He is a heavy hitter and he buries the beater in the bass a lot. My 18 has an arrow strip of felt toward the top edge only. If I bury the beater I get that this; however I can bounce the beater and get some ring out of it. Really versatile that way.
My 22 had a pin stripe Batter and eq3 resonant. I had half a dead ringer on the pin stripe. I could get a similar effect but it was more damped overall.
A coated emperor with or without a felt strip may get you able to get the Gadd Thur while still leaving other sounds available to you if you play very lightly and/or bounce the beater.
What is on the bass now? And if the resonant head has a hole in it, get another! No more than 4" and close to the edge. Even a small hole dead center kills the drum. I had no choice with my D20 kit. The original reso head was used as a batter and had some damage. There is an 8" hole in that head. It still sounds ok but does not project other than out the hole and the shell has no life. I like to really hear the whole drum sing (within reason!).