Personally at that screen size I would just buy a TV. But if your set on a projector the Epson 3000 series are most likely a good choice. 3700 if you want to stick to 1080p at about half your budget. The new 3800 for faux 4K at the top of your budget. Not sure about your mounting location as the 3000 series can only be mounted 10% of screen height above the screen. With 11' ceilings you nay need the more extensive lens shift of the Epson 4010 as it can be 47% of screen height above the screen. I recommend a TV because as you know from your current projector that large open well lit spaces are not ideal for a projector.
EDIT: Another choice is a UST projector with an ALR screen as it will be much better suited for your environment but most likely above your budget.
"Smart enough to know better, to old to care" ------ Dedicated Bat Cave Home Theater, JVC RS49U/Mitsubishi HC7900DW Projector, 110" 16:9 Jamestown screen with variable power masking for CIW 2.50:1 to 16:9, Marantz 7009 with 7.1.4 Atmos with Ohm mains,3 DIY Subs (2 15" (1 ported, 1 sealed and a 12" 4th order bandpass), 1 DIY butt kicker, Custom Built HTPC, 18TB DroboFS NAS
Last edited by rekbones; 02-14-2020 at 10:58 AM.