Our corn snake eats either mice or rat pups, whichever we have in the freezer.

I have 2 suggestions-

1) If you feed frozen/thawed mice and you don't want to touch it you can use a pair of tongs to pick up the mouse.

2) If you'd rather kill them yourself than buy frozen then I'd suggest using an air tight container with dry ice. Our ball Python won't eat frozen/thawed mice so my husband has to kill them himself. He puts the mice in one of these carriers and then puts that in an air tight container with dry ice. You have can't let the mice touch the dry ice because it will give them frost bite.

My concern with feeding anoles would be that it's too small of a meal for an adult corn snake. You'd need to feed the snake several each feeding. We feed our corn snake a couple mice each week and a mouse is a lot bigger than an anole. I can't innagine how many anoles an adult would eat. I really don't know anything about feeding anoles to a corn snake though, I'm sure others can help you better.

Have you thought about any other kinds snakes? We for a very short time had a ribbon snake, they eat fish!