As a jazz drummer I normally do the stick on stick cheat.
When doing an actual rimshot, I usually change from traditional to matched. I find it much easier to get a solid rimshot because you can push downward with the force of your wrist. One main thing I would suggest: It is much better to hit the drum than the rim, so if you're going to over shoot, make sure its toward the drum and not the rim!
It also helps me to keep the snare drum generally low. After you practice it enough, you will be able to feel the angle on the way down, and you will feel yourself minutely correcting the angles and you will be able to hit 9/10 before you know it. I still miss sometimes; it happens! Just remember to hit more toward the drum if you're unsure or maybe do a cheat.
Hope this helps!
Also: it should feel slightly different than a regular stroke. I normally stick rimshots (don't rebound), so I also feel that extra force from controlling the rebound. This is speaking in drumset terms by the way, orchestral/drumline/drumset rimshots are excecuted differently based on needs. Orchestral rimshots should feel lighter and you should glide with the rebound, and hit with a bit less of the stick over the drum. In drumline, since you use bigger sticks and rimshots are usually intertwined with other figures, they shouldn't feel much different from a regular stroke. When I was in drumline, I would pull back a bit just to keep myself in line as to where regular strokes and rimshots fall. For drumset, you're looking for power most of the time, so you should do just that, hit harder and with more of the stick!