The op was asking about a Radio King kit, that wasn't a Radio King. The op is not wanting to hassle with repairs (or?) and shopping for a kit while looking at mess pictures that don't give any real indication of what is being offered exactly. Not the ideal way to buy vintage, when it...
Sounds like he wants the sound without the hassle. Options are good. And besides, have you seen a Trilogy kit in person? They are not lacking. More importantly, have you played one? You may not care what they look like.
loose washer(s) on the t-rods can cause the "piing" sound that quickly decays after you hit it that I'm hearing. May also be a resonant wire(s) on your snare drum vibrating. That would be my first guess. Remove the snare out of the area and try.