Actually, that Headbone won't do what you want, as it's an either/or (amp A or amp B) switcher, not both at the same time - things will go bang otherwise.
The more I think about it, the solution is to use a stereo cab (or re-wire it with an extra jack socket to run in stereo).
That way you can use a AB-Y box between your guitar and the amps.
Output A goes to amp A (Fender) into left hand pair of speakers in your 4x12.
Output B goes to amp B (Orange) into right hand pair of speakers.
That way you can toggle between amp A, amp B or both amps at the same time (each driving two speakers).
Your ABY box will need to be transformer isolated, with a ground lift (to prevent ground loop), and a phase switch to prevent one amp "blowing" while the other one is "sucking".
I can vouch for these - my son has a custom ABC-Y box Bright Onion made for him for running his three amp rig. Handmade in Brighton England. Really nice guy to deal with, and very good build quality for the price.
http://www.brightonion.co.uk/active-aby-pedal-with-isolated-second-output/