Yay!! Fun!!
Maybe a "savenger hunt", looking for rocks, leaves, sticks - really easy stuff that a 2 year old can easily identify and have fun looking for. I guess it also depends a lot on where you're going, but a scavenger hunt can be fun for all of you.
Nature walks can be lots of fun too. Even it they're short, you can point out all the neat stuff, like flowers, bugs, animals, spider webs, et.
There's so much fun you can have just exploring the area you'll be camping in, I don't think you'll have to worry too much about entertainment.
Also, just a side note - my family and I were in Pinetop a couple of weeks ago, and the mosquitoes were pretty bad. We used yellow Listerine in a squirt bottle for mosquito repellant, and it worked great! Way cheaper, and less harmful than regular DEET repellant.