Steve,
There are advantages and disadvantages to either approach.
Hooking up to your homes system will be the most expensive up front and will PERHAPS be the most efficient over time. Another advantage of this is that it leaves more amps available in your snake room for all the individual cage heaters, lights, etc. Those window AC can pull a lot of amps.
The problem with hooking up to your homes system is that you don't know how efficient it will be. This will depend on how the garage is insulated and the length of run from your current HVAC.
This can lead to dramatic temperature swings in your garage, too cold of temperatures, not enough cooling, or some combination of those.
There are damper controls that run off of separate Tstats that can block cold air if the snake room is recieving too much air. But these add to the cost, often quite a bit.
The safe choice if you have enough amps is a window AC, or even better, a portable AC. If you run either off of a separate Tstat your efficiency will be pretty darn good.
First thing I'd do is install some sort of reflective insulation to block the suns radiant energy. You might find this is enough.
How is the garage currently insulated? I'll be able to make a suggestion from there. You'll have to look into local building code to find out how these reflective products can be installed.
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Current snakes:
0.1 Gonyosoma oxycephala - (Silver/Yellow)
1.2 Gonyosoma oxycephala - (Green)
7.6 Gonyosoma janseni - (Black)
0.1 Gonyosoma janseni - (Black & Tan)