I recommend starting out going to trap and skeet clubs a couple times first with a "normal" shotgun so you know a bit more about trap and skeet before you go off the beaten trail.
I have shot clays with a taurus judge, it is fun, but so is shooting 25s at trap and skeet the conventional way.
Slightly off topic, but you seem under the impression that trap and skeet are too easy, because people shoot 25's. Most dont do it all that often, and those that do put in serious effort to get the ability. Not to say your idea shouldnt be done, just give the sports a chance as they are as well.
PS, i will look into a place you can maybe do this, where are you located?
PPS, look into a 410 reloader if you plan to do this much unless you are independently wealthy.
Again, nice to see I'm not alone in the thought. Good to hear from someone who has done it!
For a little clarity, I'm not downplaying the effort it takes for some to get those 25's, or at least not meaning to.
For me, it's like an AIT exam. Under each trade, they have a collective bank of exams. Purpose is to keep exams random, reduce possibilities of cheating, and have exams in reserve. If a person achieves 100%, the exam is then removed out of the system. Another one from the reserve is brought up. Deemed as a fault or error, as the exams are also specifically designed to be unable to attain 100%, without an act of sheer luck, or cheating. How do I know this? I scored 100% on one of their exams (without cheating). Was explained the process on follow up, as I can assure you that they definitely look into if you cheated.
In a similar thought process, 25/25 has been achieved. I can't top that. Therefore, change it up.
As for location, I move around a bit for work. For the remainder of this year, I'm either out SW of Edmonton (home - Calmar-Thorsby-Wizard Lake area) or in Grande Prairie (work).
And not just 410 reloader. On another front, I'm studying up what I can about reloading. Have a few calibres to consider. I make more than enough, but time for reloading has come. (I am also OCD about not leaving brass (or anything) behind, when shooting, or anywhere in the outdoors. I have a pile of empty brass separated as to what is was fired from. Time to reload. The pile is getting a bit out of hand.