#2
my Boss TU80 tuner+metronome goes up to 250bpm
but you can set it to play different patterns (eg: it'll tick 8th notes instead of quarter notes)

also got an old fashioned wind up mechanical metronome that goes to around there too, 220ish probably. I prefer it as its louder than the little Boss thing, doesn't keep perfect time though (eg: if its not on a flat surface)
#4
They usually go to 208 but if you need you can set them to eighth notes to double the speed, or 16th notes, you can set it up to go 832bpm (208 16th notes) but that's just ridiculous.
rawr