Unfortunately I don't, I only own a standalone and production environments I work on do not use radius (they should be). However, I asked about the management interface because it could be a specific problem with respect to the special interface fxp0, there are many limitations and generally should only use it to SSH. I'm assuming this is supported I don't know for certain, but I don't see why it wouldn't be.
Check out this sample config from someone's post:
http://forums.juniper.net/jnet/attachments/jnet/srx/8389/1/srx220+radius+shrew-dynvpn.pdf
Note how the radius server is not part of the management network, and how it is configured at the group level, you could try this as well to get both nodes to use radius (if you don't have it configured that way already)
As a test, I would configure radius for a nonmanagement interface IP Address. Just configure the radius server to be a nexthop ip address on one of your reth networks that you're routing too, then use the monitor interface traffic to see if it tries to auth against radius when you log into the backup node, this as an easy alternative test to re-IP'ing your radius server since we already know it will authenticate fine if it actually auth's against it (make sure you use commit confirmed or have console access). I suspect to get this to work you may need to either apply configuration at the group level or use a non-management interface to communicate with your radius server, or both. If this works it is possible to attach a reth interface to your management network in addition to your fxp, but you will need to isolate your management traffic with a routing-instance to do it.
Let me know if that makes sense.
Another thing I would try is just IP'ing a physical interface on the backup node, not a reth interface, and not the fxp0, and seeing if the physical interface will use your radius, in other words you could move your management to two physical interfaces on each node and put them in zone mgmt and allow SSH on it. You may need to move everything off the fxp0 for this to work.