If your Veeam configuration backups are successful then you are getting a backup of your B&R Server.
Find a piece of hardware that you would never expect to have to install Veeam B&R to under any circumstances what so ever. Then install B&R to it and restore the configuration backup.
From what I can gather about your environment my point is that in the time it takes to deploy a VM from a template [or just install B&R to an available non-domain joined PC for example], give it the same hostname, ip, domain join [or not], you can ‘restore’ your B&R server to full functionality with a new instance of windows in a small amount of time. In a disaster situation where the B&R server needs a restore you would need to do the anyways in order to restore the VM from the backup that you are currently taking.
No matter if you are in the camp that believes that the B&R server should be physical or virtual with a server or workstation OS the instance of windows is totally expendable; the configuration backup is not.
The machine that hosts B&R should only host B&R.