I had a similar problem at the beginning of the week. My furnace had a bad limit switch which was causing the burner to cycle off and on. Couldn't get the air temp up inside the greenhouse no matter how high I turned the thermostat. One of my tanks got down to 71, the other four were around 74. At the suggestion of some good people, I covered the tanks with clear plastic sheet, just to keep evap to a minimum, but this also allowed light transmission. I used some left over clear poly from the greenhouse glazing, but could use clear plastic film of any kind. Made sure all fans were off also. Eliminating evap might just be enough for you. The tank that was at 71 actually gained 2 degrees overnight after I covered them.
Oh yeah, that night my tanks dropped, it was 19 overnight. The night that the coolest tank gained 2 degrees was 1 F.
With the furnace fixed, tanks now uncovered and one fan running in addition to the furnace fan, last night was -6 and my coolest tank was 75.... 26 ain't that bad, bro. If there was a bigger volume of water, or something you could put in the greenhouse to absorb heat by solar during the day (black barrel of water), and let it radiate some heat at night, that helps too.
Your idea about the plastic over the entire greenhouse sounds beneficial, but I think (not positive) that you will need to create an air space between the plastic and the greenhouse. Otherwise, the heat would transfer out of the greenhouse the same if the plastic is touching the greenhouse.