You should get a WHITE screen. The SilverTicket white screens are a very good quality screen for the money and extremely cost appropriate.
Screen size should be based on viewing distance. No less than 10" of screen diagonal for each foot of viewing distance. In a theater your size, I would be surprised if you were sitting closer than 11' from the screen, which is the smallest size you should use with a 110" diagonal. Typical is 10" to 12" of diagonal for each foot of viewing distance.
Do NOT spend extra on a fancy screen. You want a basic white screen. The pros make fancy screens for bad rooms. For a good room, like you are describing, you should get a white screen. All the pros with any dignity swear by this. The goal is a good dark room with a white screen... always.
To that end, the SilverTicket 120" screen is under $400 on Amazon.
If you have some time to look around, you may want to consider a JVC RS440 or RS420 projector which may be close in price to the Sony at this point. It may not be brand new, but buying refurbished or used is a great way to go on these very well built projectors with high reliability. That's certainly what I would be considering in such a nice room as what you have.