The lamp issues with the Epsons were limited to a VERY large batch of lamps. When Epson found out about the lamp issue they extended the lamp warranty, and to my knowledge almost everyone who did get a bad lamp got a free replacement from Epson under warranty. That's pretty darn amazing considering what most manufacturers do.
Typically Sony is not a great deal, so if you aren't getting the deal you want, I would look elsewhere.
JVC is great - period. But, I think you really need to consider your usage. The HD250 isn't rated as bright as the Epson 8700 or 8350. The 8700 is a great value product and readily available all over the place. It offers a lot of the balance that I consider of importance in a projector.
When going for the best image along with solid brightness, I think the JVC RS40 is the way to go. It is the projector I would by right now if I could afford it. But, that's a big kicker since it's a significant price jump up from the HD250 and Epson 8700.
If you are thinking of using a projector for 4-5 years and then replacing it with a 'latest and greatest' then I have no qualms in suggesting the 8700 as a great way to go.
For lighting in the room and sports viewing, I have some images up which used the FAR outdated Panasonic PT-L300U projector. Probably 300 lumens or so on a 106" screen.
http://www.avintegrated.com/lighting.html
This doesn't make the decision for you and there really is no 'You gotta use this' projector on the market. That magical 3,000 lumen 50,000:1 contrast ratio, nearly dead silent, with 3D and HDMI 1.4... Yeah, it would be nice.