Again, that's your assessment, which if I was in your position I might agree (except your dollar figures are WAY off). A single 980 Ti is more than enough, and it's not even $700. Distance from my 40" to my nose is 26", so if your apartment prevents you from moving back 2" you must live in a sardine can.
You can power a 4k monitor with a single GTX 670, or 660 Ti, though you may not get full graphics settings in AHIII. With all this being true I think you are just arguing that YOU can't/won't do this, which is your decision.