Is Big Chief climbable now, or is there still too much snow up there?
Big Chief is usually climbable and probably is right now. However the bigger deal is getting there because the road in along the top is often closed off by the forest service at the beginning of the last big hill before the parking area. Now, you can still park and hike in (or hike in from the bottom if you know how), but you just have to want it more. My guess is that the road is still closed given that it is early March.
Sorry that I don't have any more information....perhaps someone else will post.