We do not have a reference example project for your requirement. We also have not tested FX3 to accept Bulk OUT data from UVC driver.
But I feel that your requirement should be possible with FX3 provided the requests are handled properly as per the UVC specification. FX3's GPIF II block can be interfaced with the FPGA using Slave FIFO interface to provide the data to the HDMI monitor. More details on Slave FIFO Interface using FX3 can be found in the following Application Note:
Also, FX3 can be used only to transfer the data obtained from host to FPGA. Processing of data should be done on the FPGA side.