Looks like everything is OPEN for you, so maybe browse the threads here and see models that look interesting, and look at Pro reviews and user reviews.
You have room size, check.
You gave ceiling size, check.
You gave money willing to use, check.
You gave "want good blacks", check.
Something you can game on , check.
Something you can watch TV sports on. check:)
Something to watch Movies on. check
Are you interested in 3D?
How big a screen size would you like?
Are you Rainbow Effect Sensitive?
It doesn't seem like you would have placement problems, if you did you might need something with Lens Shift, but, you can place the PJ in best place and lock it down, right? , with ceiling mount.
Now you could go cheap and good and get your feet wet, and watch for a year or 2, then once you are INTO PJ's you can get a New PJ on in 2014, that could be LED/laser.
Or you can get best PJ for 2,200 today, and use if for a number of years and get another expensive one in 3 or 4 years?
Do you have anywhere in area where you can see some PJ's in action, to see if you are RBE, or see if you like Black level of PJ.
I myself went with cheap and good, so I could see if I use PJ a lot. And I don't use mine as much as I thought I would, so I'm glad I got what I got. And I got one with long warranty 3 years and is portable, so I could use it in bedroom or den or porch. I got one that I game on and has super low lag, watch football TV with, and watch Blu ray movies on. ( I bought a cheap and good viewsonic pro8200). But there are lots of better and more expensive PJ's you can choose from , so enjoy the Research Process.