Well, I skied it Sunday in some of the best powder conditions I've ever enjoyed on the mountain, with top to bottom coverage, and that was April 15th. Hard to imagine this is the same winter that started so miserably back in December and January. Your trip is four weeks away, and lots will melt by then, but I'd bet you'll be looking at mud to 50 meter bridge and an considerable amount of snow above that. Tom's right, I'm sure the spine of the trail will be well-packed, but if you want to be absolutely sure you make the summit, you might want to carry some small snowshoes in case the snow is really soft up high and you start to sink in. (I've seen people cruise along on the packed trail at that time of year and take one step off the spine and sink in up to their thighs...) And don't be surprised if you see skiers up there in May, it's going to be a banner spring!