What sized plow?
Well heat is going to be a big problem, even if you are pushing just a little. Your Torque Converter will be working hard. I would not get a tube and fin like you show, but a plate type made by B&M, or Earls. Check summit raicing for the b&M (if you search this site for coolers Im sure it will show up). Click on my photos and you can see the big B&M cooler I put on.
The plow itself adds all kinds of weight to the front end, may want to get the 1 1/2" lift springs to keep the truck from diving. I would get some good HD shocks no doubt, but bilstiens would be a bit much for a plow truck. Will the plow be mounted all season, or just as needed?
What gear ratio do you have currently?
Ive never had a plow on the Explorer, but I have driven one on a ranger that we used in small bank parking lots, and it did fine for that, and some clean up work. So the explorer should be fine for a few driveways.