In case anyone is interested in using SSRs..
Basic diagram for controlling a 120vac heat pump (or other gizmo).
Be sure to run the ground pin (green) and white wire(netural) directly from socket to plug.
Observe the polarity + & - of the DC supply with connecting to the SSR.
The SSR should be mounted on metal, with heatsink compound under it. (Radio Shack).
If you want to run your T-stat using low voltage DC, just plug in the wallwart into a 24/7 outlet.
And use the T-stat to break the current flow in one of the DC lines.
If I use this setup, I'll might plug the Wallwart into an X10 module.. (I like X10 stuff).
Right now, I'm using an X10 to control the A7 directly.. Since I don't need a full 15A for the A7..