Forget the USB boards, they all work to the best of the USB / UVC limitations but they aren’t great. You want to hook your camera sensor up to a processor with a CSI input.
Image sensors are really just high speed ADC clocking out data, whether the data is useful or not is up to the viewer. What I’m getting at is forget FPS and think data rates.
So, you need a processor that is that can handle that data rate. The napkin math says 2K@240FPS has the same data rate as 4K@60FPS. All you need is a processor or module that can handle it and you’re golden. There are demos of the RPI pushing 1000fps (at a significant lower resolution) but you get the point.
Off the top of my head, NVIDIA jetson, imx8m mini plus, the latest allwinner V series, and a whole host of unobtainable in less than 10k qty parts all supported this. The rest is up to you.
Also, RPi is out even with 4 lanes because the CSI input doesn’t support the speed required on each lane.