For $2K the Epson 3800 would be my choice if movies are only 10%. Of course for $3k the Epson 5050 is a good value. Gaming on DLP that has better motion handling, might be preferred but all the XPR 4K DLP's have high lag and lack the throw range you require. Full light control means no white reflective surfaces like a white ceiling, if thats the case I wouldn't settle for anything less then the 5050 even if movies aren't a priority as it would be such big improvement over what you have movies might become a priority. The Epson 4010 and refurbed 5040 are both crippled with the 10Gb HDMI and would rule them out. Good gaming projectors and movie 4k/HDR watching almost require two different projectors as it hard to get one that excels at both. Your 1080p DLP gaming projectors are hard to beat for competitive gaming but none that I know of has the throw range you require.
EDIT: If gaming is such a big priority for a lot less money (under $1k) the BenQ 2050a or Optoma 27HDR are great gaming projectors with the latter accepting 4K/HDR down converting to 1080p projector but you would need to move them closer as they are shorter throw.
"Smart enough to know better, to old to care" ------ Dedicated Bat Cave Home Theater, JVC RS49U/BenQ 3550 Projectors, 110" 16:9 Jamestown screen with variable power masking for CIW 2.50:1 to 16:9, Denon 4500H with 7.1.4 Atmos with Ohm mains, SVS PB2000, 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; 05-07-2020 at 08:14 PM.