The only way I can think of is if the home menu title could still be launched from home-brew...oh shit didn't know that default title also dictates what homemenu is so yeah guess you are screwed then if you manage to install it without bricking
If that's the case you could check for the payload and load that or load the system menu title id if it doesn't exist...
If homebrew could detect a sigpatched system then it could technically break out of the reboot loop as well if you booted sigpatched sysNAND with coldboothax