Just a touch more digging, and I think I've finally got it:
ryanb@ubnt# show protocols bgp
bgp 65501 {
neighbor 10.1.255.254 {
ebgp-multihop 4
remote-as 65515
soft-reconfiguration {
inbound
}
update-source 10.0.1.1
}
parameters {
no-fast-external-failover
router-id 10.0.1.1
}
redistribute {
connected {
}
}
timers {
holdtime 180
keepalive 60
}
}All routes go to/from Azure and I can route traffic with no problems to any subnet. Thank you so much for your help, I really appreciate it! If you see anything above that you would change, let me know, and I'm going to go ahead and mark this as completed.