HIGH SPEED USB from DIGITAL

I have a device that produces bytes at a clock rate of 125 MHz. I need to continuously store the data in a windows 10 computer with a timestamp on the filename to the accuracy of the computer. Example: marina_2021_0203_082532_766.bin. There should be as little loss when making file breaks as possible and a choice of file size. At this rate, say 250 Megabytes per second for two channels, storage is assumed for SSD which will fill up quickly. I do this now with a FIFO which means 4 ms of data and 40 ms to write data because of microprocessor speed. In other words, I need a microprocessor which does not need FIFO with driver writing directly to disk in real time speed. Data are TTL level but could be translated.