I've never researched much about this, but this company claims that TN shutters can do up to 100hz and "liquid crystal pi cells" can do 1000hz.

http://www.liquidcrystaltechnologies.com/products/lcdshutter...

This is interesting, I might expend the afternoon reading about it

Edit:

Related 6 years old EE Stack Exchange post: https://electronics.stackexchange.com/questions/276014/chara...

Also this company sells a pi-cell shutter with "50 microsecond rise time 1.3 millisecond fall time" for ~$200USD. I have to calculate the refresh for that : https://boldervision.com/liquid-crystals/pi-cell-shutter/