Had the same problem for the past 20 years, and when the A/C was originally installed, they tried to solve it with a Honeywell Tstat on the first floor and a remote tstat on the second. That didn't work out, so they reversed the tstats, and the bedroom tstat controlled heat and A/C. Still didn't work out very well, but it was better than any other solution. Finally, this year, we scrapped the whole set up, and installed a separate air handler on the second floor, and another in the basement for the first floor. The house hasn't been cold on either floor all winter. The A/C still hasn't been installed, so I don't know how that is going to work, but I have to believe that it will be better than what we previously had for the past 20 years.