Flandria, there are only two ways to get rid of condensation. Get rid of the moisture in the air, or keep it away from the cold materials. No magic. So either you need to supply more heat, which will drive off some humidity and heat the interior past the condensation point, or you need to dehumidify, or you need to insulate the overhead. That's probably the most practical, to look at insulation sheets or padding, and to use removeable inserts to "plug" the hatches as well. Just a piece of closed-cell foam with velcro on the sides may be all you need for that. If you need the light to come through, try layers of the smaller bubble-wrap instead.
This is one for "brute force" though. Heat, or insulation, and you keep going until it stops dripping.