Same problem here, Damon. FWIW, it's a Switchcraft locking connector, part #S760K. Switchcraft doesn't carry a right-angle version, and I couldn't find a similar but shorter or right-angle connector anywhere. So...here's what I did:
I ended up just hacking the S760K connector:
[1] disconnected the wire from the connector
[2] cut the black protective housing so it was no longer than my right-angle XLRs
[3] cut the 2 internal pins to fit the black protective housing
[4] re-soldered
[5] taped the wire coming out of the housing securely to the housing so it doesn't stress the connections inside the housing
Works great so far. It's a little sloppy, so I'm going to re-do it with a new S760K connector. I may have an extra S760K lying around if you want to give it a go but don't want to hack apart your existing connector (like I did).