I'm fairly certain ARD uses both ports (and any other port it needs) automatically. Unless someone else knows there does not seem to be a way in ARD to specifically use a desired port. Perhaps 'arp' or 'netstat' via Terminal might help? If you're having trouble it's possible your network admin is allowing traffic from one VLAN to another on certain ports and 3283 is not one of them? In which case you should ask if that's the case and if it is, open whatever ports you need for you.
I suggested the other method of scanning for Macs using Bonjour on whichever VLAN (or VLANs) the Macs are on as this gets around having that potentially non-productive conversation.
In my experience some (actually a lot) network admins are 'touchy' about opening certain ports. In some situations with good reason. If you were not aware Apple have a full list of the ports it uses here:
https://support.apple.com/en-us/HT202944
Good luck