Some guesses.
Making a guess for 250mm diameter rotor turning 4000RPM (I think that is probably very fast even for 250mm).
Guessing that the blade stalls completely out if 75% of the way out is stalled (farther out is not stalled, but farther in actually has negative lift) and assuming that you start to have problems at half that speed (trailing blade has only half the lift)...
250mm diameter x .75 x PI = about .6 meters of 75% tip distance per revolution
4000RPM is 4000/60=67RPS
67 x 0.6 = 40 meters per second is completely stalled out
For 4000RPM I would guess that, unstabilized, you would have to hold a lot of cyclic at 20m/s to fly level. And don't try to pull a lot of G's.
For 3000RPM head speed that happens at 15m/s.
Diving straight down with no vertical thrust (since blade is vertical) and the acceleration due to gravity is 10m/s/s you could dive for no more than 2 seconds with no initial velocity (2 seconds at 10m/s/s is 20m/s). 1.5 seconds would get you 15m/s. 1.0 seconds would get you 10m/s. But I bet you are already flying forward fairly fast when you start the dive.
Larger heli is better, larger diameter means higher tip speed for a given RPM
Higher RPM is better, more tip speed
No negative collective? I guess you don't want to fly any autorotations. OK with electric, but for nitro, I would want to allow for motor failure that requires an autorotation.