Hi Jason,
I would reterminate that end to BNC. If you were to use an RCA-to-BNC adapter, the adapter itself would undoubtedly introduce a significant impedance discontinuity. And the RCA plug would also, unless it is one of those that is specifically designed to have a 75 ohm characteristic impedance, such as some of the Canare's.
BNC's are specifically designed to have accurate
characteristic impedance, and will have good performance at the high frequencies that are present in digital signals.
Also, the fact that the other end is RCA will not nullify a lot of the benefit of having a good impedance match at the BNC end. Having a good impedance match at one end will minimize the number of times that waveform reflections resulting from impedance discontinuities re-reflect back and forth from one end of the cable to the other, before decaying to insignificance.
Best regards,
-- Al