Nothing is going to thicken up and provide the liquid to cook the rice unless you go the cream of something route. You could use regular broth but I would think it would be majorly lacking in flavor. Another option is to just bake the chicken and do rice on the stove. You can coat the chicken with something like mayo then coat in bread crumbs to bake. The mayo, or even ranch dressing, helps retain some moisture. Although if you're a fan of the creamy soup type recipes but don't want to buy the crud in the can, you can make your own base with slightly more wholesome ingredients.
http://1orangegiraffe.blogspot.com/2011/07/anything-you-wanna-call-it-casserole.html?showComment=1310864846151#c3489139395376988271