My grandparents' HP OfficeJet 8710 costed $250 CAD (after tax, Environmental Handling Fee, and delivery), but they foolishly discarded the packaging which could've been reused to cushion the printer. Its dimensions are underneath; it's too big to fit in a carry-on. Shipping the printer separately wastes money when they're allowed 2 free checked baggages and need to fill only one, while the other's empty. I'm assuming that:
the printer mustn't be placed nakedly in checked baggage, without cushioning.
the Fragile sticker fails to adequately enough to protect the printer.
they'll remove all ink cartridges before the flight.
They'd prefer to cushion without foam peanuts, to avoid adding unnecessary mass:
In your case, since you have an ink jet and are intent on traveling with it, I'd try to brace the printer head from moving with towels (that you're happy to discard if ink gets on them). Take the ink cartridges out and put them in a ziploc bag (as they may leak). And then double-box the printer using plenty of clothing and/or packing peanuts.