That model looks almost exactly like my '02 Journey. You can access the radiator somewhat from under the rear wardrobe, from under the rig, and from the back. Soak the rad as well as you can with hot water if possible. Then most people use Simple Green - Purple (safe for rads and engines) in a pump up pressure sprayer and squirt it everywhere they can reach. Let it sit for 30 minutes. Then rinse. Check out how dirty the rinse water is. If it's not clear, wait a couple hours and repeat the process. Keep doing it until it rinses clean.
From then on, you usually only need to do it once per year. That's assuming your slobber tube is routed back behind the rad. Check out the RV section of my blog, there's lots of similarities between our RVs and you might get something out of it...
RV Repair Section '02 Journey Cat 3126