The thing you have going for you is that you have the TV mount to hide any exploratory work.
I haven't used the brand "snap toggles" you're talking about but they are just an easier to use version of a traditional hollow wall anchor, the toggle bolt. With most of these products, the hole you need to get the "toggle" part through is usually larger than the actual screw that holds whatever you're hanging to the wall. So a 1/4" bolt may require a 1/2" hole; the package will tell you what size hole to drill.
A 60" LCD TV weighs in the neighborhood of 50 pounds. While that isn't a lot of weight, you do want to hang it properly to protect your investment. Screw into the studs and skip the hollow wall anchors.
If you need a modestly priced mount, check out Monoprice.