For a heat only system, adjusting dampers may suffice; I'm not sold on zoning, but that might be because I don't know much about it. A 2-story house can heat relatively well on a single zone if the duct system doesn't have major design flaws.
With heat only, this should be a no brainer and should be possible manually. Close the registers (and flow dampers if there are any) somewhat in rooms that are too warm and open them completely where you need the heat. With A/C it's tricky because you need to "reverse" the positions for each season, but with heat it should be quite easy.
Then check your temperature rise at the furnace to ensure you're not exceeding the max.
Why do you need electrical control? Are these rooms used sometimes and not at other times? Supplemental heat may be a better, easier, more cost effective alternative.