If you fly into DIA and drive to Steamboat, it's a little over 3 hours. You have to drive through Summit County though, so depending on when you are traveling you could hit a fair amount of traffic. It's a gorgeous drive though. Steamboat has way more snow than and East Coast spot too. Doing quite well in that zone actually.
I'd recommend it over Breck and Summit county right now. You can say Colorado is having a bad season but that is not really true. Summit County and other Front Range spots are having a bad season. Most other places are doing just fine.