Access in Early March

I'm visiting Bozeman in early March and I'd like to climb in Hyalite Canyon. I'll have skis and I'm wondering how far I'll need to ski to get to the ice under typical conditions. We'll have a 4-wheel drive vehicle and I'm wondering if we could get as far as the dam in a normal year. I'm also wondering if the ski-in is enjoyable or if there too much snowmobile traffic. Recommendations for other areas to ski/climb between Bozeman and Cody would also be appreciated.