Hi @rd1
I hope you are doing well!
If I understand properly in your application you require to storage from a non-volatile memory (external flash) , instead of using the SRAM of the LPC55.
You could take a look at the USB_DeviceMscCallback , this function handles the read and write events for this class.
It may also be useful to take a look an example like the dev_msc_sdcard_bm that implements an SD memory as a reference.