Same thing happened to me last year. Its deff tough if it's very cold. Not just because of potential low temps, but also because it becomes difficult to control humidity without some heat.
I tried 2 things to combat this. A dry box that gave them a little micro-climate that was easier to control, and cutting the plant into smaller sections with less large stem sections. Also wet trimming to remove leaves.
My goal when I did that was to reduce dry time as much as possible without destroying quality, since the dry room temps (and therefore RH) werent perfect. I had some success with both methods, but also some failures (when I thought they were done and jarred them early)...but it is deff a learning experience.
You could add a space heater to your shed, and/or buy some cheap insulation. Whatever you decide to do, in less then ideal conditions, it becomes even more important to monitor the flowers carefully to make sure they arent drying dangerously fast or slow.
(TL;DR version)
When I had that same issue I...
- Wet trimmed
- Cut smaller sections to min dry time
- Insulated a small section in the shed where the flowers were
- added a space heater
- monitored the environment carefully
- checked on the flowers often
It was a lot more of a PITA but it ended up working out in the end (for my first time growing anything) haha
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