Hello Larry,
see below, please!
(1) About EIM_BLCK
yes, the clock can be configured as continous in register EIM_WCR

more detailed information ,see reference manual, please!
(2) Suggestion on clock for your FPGA's working clock
--- provided by CPU
The better choice is to get clock from CCM_CLKO1 & CCM_CLKO2.
--- Using external clock
probably FPGA requires higher precision clock, From a technical point of view, you can choose to meet the requirements of OSC or crystal, which has no risk.
(3) Signal transmission synchronous clock
If your FPGA is connected to EIM interface and use SYNC mode, it is no problem to use BLCK for FPGA. It is not recommended that you use BCLK as the working clock of FPGA.
Have a nice day!
BR,
weidong