Well, once you can get them germinated (they would be best in a warm place for that) if you keep them protected, but in a cool place, away from any heating, and maybe a north facing window sill, to keep them in check, they should be fine.
Actually, to grow melons or squash, it would be better if you lived in a Mediterranean area. We would have problems with those down here in Kent. The growing season isn't long enough. The beans should be fine though.
I'm planning on keeping the melon in the polytunnel. It's my first time, but I'm trying these short season cantaloupe from RealSeeds.
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Minnesota Midget
First seen in 1948, this fantastic variety was bred for short summers - it swaps size for earliness - but without any sacrifice of sweetness or flavour. Compact vines grow about 4' and quickly set several small (cricketball-sized) melons with sweet orange flesh, edible right to the rind."
We have solar for the house (for the first year) and we've already got more energy than we can use. So, I've set up heated trays in the polytunnel. A long bench of trays with electric heating cables buried in sand. Tested it out last night and without any covering over it we had 9.8 degrees on the heated beds vs 1.2 degrees on the bench beside them. So now I'm thinking that with fleece over them at night I can probably get my tomatoes out onto my heated benches now?
But now I'm also wondering if I should keep my melons on heat (at night) all summer? We don't reliably get night time temps above 10 degrees until July/August and it's rare that it goes any higher than 10!
As for my setup:
1. Indoor 'greenhouse' - essentially shelves encased in a cover in front of a window. We have extra heat and solar in there when needed.
2. French windows in a cool room at the back of the house that gets morning sun only.
3. Polytunnel (now with heated bench)
4. Very sheltered south facing suntrap against the house.
5. Cold frame in sheltered south facing suntrap against the house.
So I'm trying to work out what should go where when it comes to starting off the more heat loving plants.