I don't think it would be possible to do this accurately easily. Often the lower rate is a different rate plan and how can the hotel know all the rates such as AAA that you're entitled to use? However, I wish it were possible to show all of the hotel's rates simultaneously when booking on the hotel/chain website rather than constantly clicking to show elite, AAA, AARP, government, contract, package, BOGO etc rates for each hotel and each interval of dates.