Sorry, but no one can tell you what the weather might be months from now. As Lifey indicated, when you're talking about mountains, the weather can change hour by hour!
I was in Colorado in late April last year, and saw snow on several different instances - although it was usually for a relatively short period, and it didn't significantly impact my trip at all. A week earlier, Denver got hit with a foot of snow. In high elevations, there is a chance you'll see snow - anywhere on your trip, that's the most specific thing we can tell you.