Q: print without airplay

In order to print directly from your iPad, your printer is going to need some sort of wireless connection. I seem to recall that there were some apps that would allow printing to some printers over BlueTooth. Check the app store.

By the way, printing doesn't use AirPlay. It uses AirPrint.

Printopia is a Mac app that will allow you to do this. https://www.decisivetactics.com/products/printopia/

The iPad uses a print technology called AirPrint. Airprint is a particular communication protocol that flows over WiFi.

Your going to need a wifi network & your computer is going to have to be connected to it. 

To print from the iPad, your going to have to install some more software:

-- install enabling software on a computer which you have connected the printer

For a comprehensive list of links,

   see Texas Mac Man list:

     https://discussions.apple.com/message/21291967#21291967

   or

     http://ipadhowtouseit.com/ipad-printing/

Helper app -- /print n share

Print directly to the widest range of network or WiFi printers available in any app. Alternatively print via your computer to ALL printers including USB & Bluetooth printers. View read and display large PDF, Office & iWork files. Easily transfer & store files from the Cloud or your computer.

https://itunes.apple.com/us/app/print-n-share/id301656026?mt=8

Customization of Print n Share is available.

http://mobile.eurosmartz.com/customapps/

Software for your computer's printer:

Enterprise level support for Mac and Windows

   Presto

    monthly subscription fee

    http://www.collobos.com/index.html

     Makes any printer AirPrint® compatible so you can print from an iPad® or iPhone®.

     Reportedly works for any router.

     http://www.netgear.com/landing/genie/default.aspx

Mac software

Printopia

   http://www.ecamm.com/mac/printopia/

handyPrint  -- donationware

   http://www.netputing.com/handyprint/

https://www.decisivetactics.com/products/printopia/