Going to need a bit more information....
Can we get the model of the Coachman Viking you are speaking of? BH, FQ, QB, etc...
A quick search on a BH had dry weight of 2818 and a hitch weight of 406, even though the brochure said it was a light 2500 lbs.
Plus we would need more info on the KIA....year, model, engine size, etc...
Remember, dry weight is not actual tow weight.
Plus, you probably do not want to tow at MAX...Although that statement may cause an arguement around here.
Chances are a 2800lb trailer loaded will be more like 3500lbs. That would take the hitch weight up to the 450ish. Add people into the KIA, etc.....PAYLOAD, PAYLOAD, PAYLOAD.....need the payload on the KIA.