Can't you give the printer a static IP? It should allow you do that on the printer then you should be able to see it in you're router. Example: 192.168.1.51 leaving the first 50 for DHCP, that's how I used to do wireless appliances. Obviously, I don't know what addresses you're router is using but you can have up to 255. But I think you know all this already, you guys are all computer brainiacs.
While that works, it's far better to leave the DHCP settings alone and connect to the printer by "device_name" so that any changes to the network, say a new router with a different DHCP and/or IP range that may conflict with a printer fixed IP setup won't have any effect on the printer/PC communication.