Your best bet may be to go with an induction motor. They can be had with native shaft speeds of 1140-1710-3420 RPM. they are quiet, may not have great starting torque but you don't need that either.
Maybe the motor from an old box fan would be close to perfect I am guessing that HI speed is around 1,000 rpm. you just need to make a mounting and figure a way to keep the water out of the motor. Most box fans already have 3 speeds to play with.
Another option is to find something with a gear motor that already runs at near your desired RPM.