Most of the underground stuff at Ecton takes some time to sort out access for and you need an approved leader to accompany you so there's no chance of getting in, but there's Birch's level that you can just walk into near the roadside. Swainsley level is also open but unless you wish to immerse your nuts in freezing water to see a forefield and a sheep skeleton, don't bother. Limepits mine is worth a look if you can find the entrance, it's below the old railway track going back towards Ecton from the Wetton tunnel.
Otherwise, there are several open holes in the Via Gellia (A5012) like Groaning Tor or Dunsley Springs levels that should be dry-ish, or off the same road at Pikehall there's Mouldridge mine (which I was planning on doing t'owd mans candle in on Christmas eve if the weather holds). Likewise, there's Devonshire or Wapping/Cumberland at Matlock Bath
The main roads are currently OK round the Peak but minor roads that aren't bus routes won't have been gritted so best stick to main roads unless you're coming up in a Landie! :lol:
Follow the horses, Johnny my laddie, follow the horses canny lad-oh!