Welcome to the forum.
I believe, actually guessing off the top of my head, that the GVWR of your coach is 17,000 lbs. being on an F-53 of that era. The GVWR is the Gross Vehicle Weight Rating and is the maximum weight that the entire motorhome should not exceed. It is determined by the manufacturer and is a static figure (does not change). Look through your documents or the manufacturer's ID plate to see if you can confirm that your coach has a 17,000 lb. GVWR.
Assuming that the GVWR is 17,000 lbs., we know that you should
always be under that total weight for safety reasons. If that's the case, It my opinion that that load range E (10 ply rating) would be fine. It's what the manufacturer originally specified for that coach knowing that it would be loaded within that 17,000 lb. GVWR. Most if not all the F53 with the 17,000 lb. GVWR chassis back then were fitted with 235/85R16 "E" tires leaving the factory.
Sure, if you want to now go to the "G" load range and it makes you feel better, there's nothing wrong with that but as you've pointed out, the ride might be harsher and the handling may (or may not) suffer.
If you are overloading the coach, yes, your tires correspondingly will be inadequate but you really shouldn't be loading the coach so it will weigh over that 17,000 lb. GVWR for safety reasons. If you are within your GVWR and your front and rear axle weights are within the manufacturer's specifications, the load range E should be adequate if not ideal for your specific application. I'm thinking you'll be happier in the way the coach will handle and the ride it gives if staying with load range "E" ...but again, just a guess.
And a "14-ply rating" tire doesn't actually have 14-plys. The terminology is from the old days of bias ply tires and is used now just for comparison purposes and that's why you'll always see "rating" after the ply number. Modern radials will have nowhere near 14 plies.
We have several tire experts here on the forum and hopefully they'll chime in and correct me if I am giving the incorrect information.
BTW ...not a criticism but just for information purposes in the future, it's CoachMEN rather than Coachman.