I'm thinking you could make the pro8200 work for you if you stay very flexible. When you get the PJ just move the PJ closer and further away from screen and increase or decrease zoom to screen size. Then just for setting it up the first time, use step ladder or chair, and with PJ in hand go higher or lower to get something that works. Then use bookshelf, or get ceiling mount to that level, with extension. It's your basement so you will figure something out. Most of us do not have high ceilings, and we can get it to work. As long as you can go straight back from screen, you can get it to work, one way or the other.
Tilting the PJ a little, turning the PJ upside down or right side up. You got options and you sound like a DIY type guy. It's only the first time you need to figure it out, from then on , for that room you know the perfect place for PJ.
I put mine on stack storage dressers behind me when I use it in the bedroom above me seated and when in living room, put it on table in front of me. I have put it in all types of rooms and most don't have high ceilings. With the lights off , as long as it works, you are good to go. Since I use the PJ in all types of places, I haven't done a ceiling mount. After the gaming session or movie, I put the portable screen and PJ away in closet. Sometimes I might leave it set up for a few days too. Try it in the bedroom or the porch or den, or friends house. Why not. It's 7 pounds of Big Screen entertainment. Can't take a 100 inch hdtv with you, but you can take a 7 lb PJ with you.