Brother monochrome laserjet printer with wireless, it's $150 or less. Got one a year back after deciding I will never own another inkjet. It's flawless. Inkjets are an amazingly huge scam.
My point is Not Ink-Jet vs. Laser.
The point is to get/use a USB printer and Praying that it will work well as a Network printer when plugged to the USB of the Router is "Silly".
Yes the plug on the Routers is called USB and it looks like USB but it Not really functioning as a Good USB port on a Full grown computer.
In the past the price difference between USB Printer and a Network capable printer was significant. These days the Network interface is very inexpensive and thus it is better to get Network capable printer. The the USB on the Router as a spare Slow NAS.