Late March is smack in the middle of Peak Season. Discounts will be less than other times of year, if at all.
If you are thinking THIS March, you probably won't do much better than rack rate at this late date, which is most likely over $300 for a garden view.
If you are thinking next March, the cheapest rate I remember seeing was upper 200s - I think $270-ish for garden view. Concierge would be more