is there a utility to program this board without using labview tools?
No, you can use FPGA Interface C API to interface with the bit file, but the bit file (.lvbitx) can only be generated using LabVIEW FPGA Module.
is it possible to get a copy of the schematics?
Why would you need the schematics? If you are looking to design the mezzanine board, you can refer to NI sbRIO-9607/9627 RIO Mezzanine Card Design Guide
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Applications Engineer | TME Systems
https://tmesystems.net/
