Well you can disable/turn off the Wireless network in most printers, you only have to make sure you can, since they sell All time connected devices(Including some printers) and you cant disable Wireless on those.^ yea I know I can connect the printer via a cable and not wireless, but even if so still concerned since it has wireless also built in, and the way they make wireless things it's like they think they're doing you a favor by making everything easily shared by default, even if I don't set up the wireless I'm worried it'll be on some how .
I think you're overthinking this wireless thing too much, Yeah you can hack a printer, but if you turn off the Wireless port, then there's no way someone from outside your house could even connect to your printer, the only way will be the wired Ethernet port or USB.^ I think you CAN 'turn off' wireless on these printers, but still unsure if that's completely secure. I did read you can hack a printer and get into the computer/network too, so it's not like the printer is a 1-way signal of data from Computer -> Printer.
I realized I can also just get the non wireless $65 printer (just prints) and the ~$20 used stand-alone scanner (which isn't wireless),, and for how I mentioned that mini scanner probably won't work for thicker things like a driver's license or passport scan, but I could use one of those 'wand' type scanners or simply take a picture with my digital camera which should be acceptable as an official 'scan' of a license or passport I would assume, I mean the camera would probably be even better quality of a scan than a scanner but sometimes an official scan might mean it must be scanned.
I did also find a printer scanner combo that doesn't have wireless, but it does have Fax,
HP - LaserJet Pro MFP M130fn
but I guess as long as there's no telephone cable to the fax then it won't have a way to bridge data.