what size wheels?
He runs 3.25”
Yeah it’s on 3.25s. You have to make sure it’s frictionless and super light
And with that small remark @squiddy_slapper blew up the years of painstakingly maintained secrecy with which the Order of Knights Templar / Engineering Division of Ohio were building Wireless version of the Perpetuum Mobile according to the ancient blueprints.
Anti gravity engines? Magnetic bearings?
The most reliable way to test the feasibility of the new chassis speed would, obviously, be to build it and test how well it works and feels to your driver.
The motors need to have enough power to move the robot’s weight without overheating and driver needs to practice and feel comfortable scoring at certain speed without being vulnerable to other robots that could outrun or outpush you (depending on your driving preference). This all have been said above…
However, I would like to suggest one more tool that could make your decision informed by some numbers and, hopefully, be more objective than subjective.
V5 motor api provides a lot of very useful telemetry.
You could log or plot on the screen your robot’s top speed, motor max current, and max temperature over each 5 second interval, while you practice skills or play against other robots.
This will let you see how much margin there is in your drivetrain power relative to your driving style and will guide you on how exactly you can improve your drivetrain performance without sacrificing your safety margin.
Also, those experimental results will look great in your notebook. 
So our team decided to run 200rpm and gear up by using 60 to 36 giving us about 333rpm. Thankfully we have not experienced any burning out issues. I would say our robot is relatively light. We saved weight by using plexi as our hood and overall having a simple design. Thank you all for your advice.