Lol. I never thought about the counting. I hear BEEP BOOP BOOP BOOP BEEP BOOP BOOP BOOP. 220+BPM is fast. I think I internalize the first one of the bar, and the next 3 just keep in on track. You could just as easily play 64th notes to a slower click, but I find I'm much tighter when I only go to 16th notes.
The reality is I have been doing this for YEARS. I didn't hit these speeds playing over night. And to get to 240BPM you need to get to 220, to get to 220 you gotta be tight at 190. If 190 is fast, I'm sure at one point I found 170 fast. and so on. Maybe you can do 16th notes at 100 BPM. That is more than fine. If you practice your butt off, and increase 1 BPM every 3 days which is not a ton, you would hit 200 in a year at that rate. The faster you get the longer it takes for each increase. I am at a point where it may take a month or 2 to fight for 1 BPM, or sometimes I might even drop a few if I don't practice.
As with most drummers ,when you start out you NEED to count. If I am learning something super awkward in odd time I'll count too. There comes a point where you just "feel" it and don't actualy count. I CAN count, and I know where I am, but I don't have to consciously think about it. This is when you have WAY more freedom. I can play over the bar fills, change subdivisions, and cause some wonky stuff and stay in time when I get to this point. (the band doesn't like that haah) but I'm not forced to go "ONE TWO THREE FOUR". If I was I'd have to keep it slower. I kindof consider it autopilot mode. It's the same reason you can play that beat you play all the time super fast, (pick your fav beat) but then If i was to move the kicks to different spots you get slower. It's no more difficult, it's just because the muscle memory is gone.
I'd personally suggest long practice sessions with 16th notes to the click. Heck, even just RLRLRLRLRLRLRLRLRLRLRLRLRLRLRLRLR. 4 hits per blip of the metronome. You get really used to the fast beeps after a while.