Well, it sounds like this is too late since you've just returned from Home Depot with a window unit, but you'd have been a lot better served by buying a chiller (unless the AC unit is for your comfort as well as the fish!).
The reason is power draw and efficiency of heat transfer. Since you've LED lights, you really don't have that much heat that you need to remove from the tank's water that's being generated by tank equipment. Given that's the case, a quite small chiller would've been sufficient - perhaps a 1/10, 1/8 or at most, 1/5 HP. Those tend to use a lot less electricity than even a window AC unit.
Comment about the 180 gal display (I just went through this process, though I wound up with a much smaller display of 50gal): Decide first whether you wish to put the money into a custom tank, or only wish to afford a standard design. Roughly speaking, a custom tank is going to cost you about 2X to 4X the cost of a standard design by Marineland, Aqueon or Plexto.
If you want to consider a custom tank, I'd decide on design attributes before deciding on a company. For example: Starphire, Diamante, or Regular glass? Rimless or Framed? Black or Clear Silicone? Drilled through the bottom w/ "standard" type overflows, or drilled through the back for a "coast to coast" overflow?
Marineland Deep Dimension Size Chart:
http://www.marineland.com/Products/...~/media/6012E0A3249E4E2787C7C80D6DE47E0E.ashx
Standard Tank Size Chart:
http://www.marineland.com/Products/...~/media/739F8551D55146DD86789B7442ECFAD4.ashx
Approximate Prices (You'll likely get a better deal than this website from your local LFS):
http://www.fishtanksdirect.com/Glass_Aquariums.aspx
For custom tanks:
http://www.elosusa.com/ (very high end, don't be shocked!)
http://www.leemarpet.com/
http://reefsavvy.com/
http://www.cadlights.com/ (The company I went with - beautiful tank)
http://customaquariumbuilders.com/
http://aquavim.com/
http://www.glasscages.com/ (Think carefully about this option; they're the cheapest, but many are not impressed with their builds)