HELP! Want to switch from tv to projector. Doable? (layout inside)

[rainbowbattlekid]

So I'm trying to figure out all this throw distance and screen height stuff and I'm having a hard time wrapping my brain around so many variables, so I was hoping to get some help. I'll try to post as many items of interest as I can think of. I've attached a rough layout of the living room. It's not exactly to scale but I've written measurements against each wall. I used the calculator at https://files.support.epson.com/pdc/en/Index.html

Okay, so we want to switch from a tv to a projector setup. Since I also use this for playing games, I was looking at the Epson 2040, as it seems to have noticeably short lag time. And I haven't tried out DLP projectors but I looked up a couple examples of the rainbow effect and I feel like it's the kinda thing that would bug me a lot. Also it's fairly budget-friendly. We are trying to keep the whole thing UNDER $1,000 if possible.

The screen would go in front of the angled 95" wall. Because the adjacent walls are angled out from it, my calculations are that we could do a 106" 16:9 screen, and it would go a TAD past the wall (like 98" total) but that should be fine I think.

The main issues i'm worried about are:

Throw distance. It seems like for a 106" screen, the projector could be from 9.5'-11.5' away from the screen. 11.5' is definitely preferable. Ideally, I'd ceiling-mount the projector in the corner where the Rear Left speaker is, but i think that's slightly too far(14'4") to be able to get the image down to 106". The farther out from the corner, the more I don't want the projector to hang too low. I just measured out 11.5' and if the projector were around 18" from the ceiling there, it would hang a BIT too low to not be an eyesore, i think.

I'd like the screen to be low enough to not be a strain on the eyes, but the lower it goes, 1) the lower the projector has to hang, and 2) the less room I have to have the center speaker below the screen.

If I tilted the projector, I'd have to keystone the image which would lower the quality, i think? That doesn't sound ideal.

If the projector were on some sort of shelf near the Rear Left speaker, that would be great placement and height, but again, it's like 14.5' from the screen and I don't think we can afford to pull the screen out farther to fit a bigger screen.

I was thinking of the Left speaker going where the Right speaker is, and the Right speaker moving down to the next corner. That still leaves the Center speaker. I guess one advantage of the screen being too high is that the Center speaker can go on some sort of stand directly below it.

FWIW, my eye-level while sitting on the couch is about 41", and the proposed screen would be about 9' from the couch.

Also, not sure it's relevant, but I'd likely move the receiver from under the TV to the shelves by the Rear Left speaker. I also suppose I'd move that speaker a little northward along that wall to keep its relative position to the screen.

Still just having a hard time figuring this out, so if any of you are good at wrapping your heads around this kinda thing, it would be MUCH appreciated.


EDIT: Would it be possible to mount it to the WALL somewhere above the couch? I don't know why I didn't think of this earlier, but I dunno if mounting it to the wall would also allow me to angle it towards the screen wall? Or maybe just from the ceiling above the couch, but then I'm still not sure about angles.