Re: Screened bottoms
I once joined the screened bottom board movement. Enabled me to count mites but other than that saw no benefit of any kind at all. The hives wintered on screened boards use more honey to winter than hives on solid boards. Don't count mites any more, so as solid bottoms are easier to make, cheaper, and for my bees anyway, better, so I'm back to solid again.
Re condensation, it's caused by a temperature differential, ie, warm moisture laden air meets cold surface and the water condenses on it. So to help avoid condensation on the inner cover above the bees, insulate it. A piece of styrofoam on top of the inner cover can reduce condensation quite a bit.
44 years, been commercial, outfits up to 4000 hives, now 120 hives and 200 nucs as a hobby, selling bees. T (mostly).