We tow our Jayco 28RLS all over the southeast with our 5.4L F250. I'm very happy with it's quiet performance, but I like the hot rod sound of 4200rpm under load. Your GM would spank my F250 and send it a sympathy card. If you're comfortable with it, I doubt the truck will suffer. I never thought I'd see the day when 300+hp isn't enough to tow a travel trailer.
I like the 28BHBE out of the two. While our daughters were growing up, we never had a bunk house. We and they preferred the sofa bed once they got too big for the dinette bed. Our 28RLS with the sofa hide a bed serves now for guests and grandkids. We got spoiled with the recliners in our last 5th wheel.
The TV in the BHBE might be on an arm that allows it to be pulled out and angled. Our 28RLS has this so we can turn it toward the dinetter or recliners.
We're very modest. I never even saw my dad nekid. Much less me mudder. We slept in PJ's and left the curtains open for air circulation. Now we have a door to close off the bedroom and guests can dress in the fairly roomy bathroom. Never been a problem.