Most of the young players I am involved with in teaching who are in school progams carry a container of moongel with them and rip off the tape and **** when they play on the school kits.
What I used to do before the advent of those specialized Remo and Evans heads with the extra ring built onto the under side of the head, was to take older heads, cut out the body of the head to about 2 inches from the hoop and then take a very sharp blade and cut out the remaining part of the head flush with the hoop which gave me in effect,a zero type ring, but with the curve over the bearing edge left. I would then fit that on the underside of the new drum head and mount the head on the drum and get no overtones and a clean controlled sound. Of course now they make heads with all that built in. Totally negated any use of stupid tape or T.P. or paper serviettes taped to the head.