In reply to c1imber: This response from Salt Lake, btw. I'm afraid alice's answers won't be particularly helpful to you, especially re IC and Yose.
Boulder is a great place to land, but it is not especially known for sport climbing (and its not so cheap). I think Shelf Road would be the closest limestone sport of significance. Rifle is on the west slope of Colorado, so not that close. You'd be driving a bunch.
The preponderance of limestone sport in the western US is in Wyoming, Utah, and Nevada. I suggest you look through the mountainproject database at those states. Areas of interest would be Ten Sleep, Lander/Sinks, and Wild Iris in Wyoming, Logan Canyon, American Fork, Rock Canyon, Joe's Valley in northern Utah, the St. George area of southern Utah (tons) including the Virgin River Gorge, and the areas around Las Vegas. There are also a bunch of lesser documented limestone areas in western Utah and eastern Nevada. You can find info if you look around or once you arrive.
If you're planning on Canada for limestone, look at Canmore in Alberta, its limestone central. Skaha in SW BC is also known as a sport destination, plus its right on the US border, has nice climate and has tons of orchards.
Skiing in the Rockies is excellent. Utah, Wyoming, Colorado have very good snow. Sierra and Cascades get more snow in general, but it tends to be a bit heavier. Canmore has great skiing nearby also.