You had me scratching my head there for a minute. 2009 Connecticut? never heard of one.
But since it is a 1999 (not 2009) Connecticut, it makes much more sense. :-)
As for the value? Let me ask if you are sure it is silver. I ask only because they made many more clad 1999-S Connecticut than silver ones. Are you assuming it is silver because it is a proof, or is it really silver?
If silver, then about $4 I would think. If clad, probably worth just a tad over face value.
i have a 1999-S Georgia quarter (clad) that I got about 6 months ago. Of course I ketp it, as it is arare to see a proof in the wilds when it comes to quarters. Much rarer than we see the halves in proof. So it is a good find. :-)