For me, it's not so much about PIP, which I rarely if ever use, but swap functionality. I wouldn't live without the ability to pause/swap/pause.
For the OP, Bluetooth is used to connect to a Bluetooth enabled soundbar, headphones, or similar. Again, a rather limited feature, but if you want/need it then place the equipment accordingly.
The "middle" room may be the best place for the Hopper, if so great, leave it be. If not, since you already have coax at the "middle" location, then dropping in a HIC for the WAP should be simple.
My opinion is if the original location is the most used and best for the Hopper, don't compromise - keep the Hopper at the original location and get a HIC while in the time window to get it free. You will be paying Dish thousands of dollars over the years, get things set up best for the long haul.