It sounds like what you are looking for is versatility. In your case, I would recommend 2 separate settings on your projector; one for an ambient light/sports theme and the other for nighttime/dark room movie mode. You can save these settings and recall them depending on the conditions. SilverStar has ambient light diffusing characteristics that will give you better results in a room with ambient light in comparison to other lower gain options.
SilverStar works great in all lighting conditions, including rooms with low ambient light. One of the benefits in a dark room scenario is the ability to obtain a vivid TV like image that we all have been accustomed to with today's high performing bright displays, without overdriving the lamp. A lamp that runs cooler prolongs it's life, is more energy efficient and the fan runs quieter. Setting this projector into low lamp mode would double lamp life from 2000 to 4000 hours. The more flexibility and options you have for set-up, the better your picture will be without compromising quality.
The HC6800 is a great bang for the buck producing a great image with good black levels and contrast. At 1,500 lumens, it would be sufficient to light up a SilverStar screen even bigger than the 110you're installing. Properly calibrate, however, you're looking at an output of just under 700 lumens.