Email-to-printer is a built-in feature on many high-end printers already (HP calls it ePrint), and it's easy enough to glue together some software (fetchmail --python/whatever glue--> cups) and package it up as a distro for the raspberry pi 3 (with its built-in wifi and regular usb ports). Plug Twilio in and now the system can also receive faxes.

If you have lots of friends in the restaurant business and am itching to get into sales, there's a cottage-industry that fits between a $50 on-sale inkjet printer, and $1000 high-end HP, but it includes on-site installation, configuration, and support.