You can find them refurbished for less than $1k. I own the 8100, which is a model older. My bulb popped so I've been doing a lot of research myself lately.
First question, is the 14' throw a hard requirement? My current setup is at 16', so I was looking for something to just pop into my old mount. What I learned however is that all the decent projectors under $1k are very limited in placement flexibility. For instance, the BenQ 1070 at 120" would give you a throw/zoom range of between 10' 1' and 13' 2'.
When compared to the flexibility of my Epson, the throw/zoom for 120" is 11' 9" to 25'. The difference is huge.