Would it be possible to run a snake-ish plastic tube along the bottom and run hot water through it, under the soil?
You would do best to heat the soil in some way. Glass/sunlight gets you part of the way. Rocks next to it would help. Some black/dark mass also would help absorb heat.
Don't know how pretty you need it, but you could also make a hot-bed, whereby you build a
compost pile with organic material and/or manure and keep the soil heated that way.
Good luck,
William