You have lots of choices in that area. If you`re ok snuggling with the dog most of the small one-person backpacking tents would o for you. I`d tell you to go check out tarptent (a sponsor of this site) or six moon designs.

You probably don`t want a sleeping pad integral to the tent. Go buy yourself a thermarest neo-air Xlite (just google it). probably your best choice to carry around and be comfortable.