Cool climate herb? Where I live this winter will get more or less 20...

Where I live this winter will get more or less 20 days of maybe up to 5 degree below zero (celcius) and some cloying frosts. We are not talking weeks of snowfall or anything.

I know my Rosemary will survive it, but should I simply give up on every other herb?

I can put them below cover.
Answers:    Heck - there are LOTS you can grow. Most of them, certainly!

I live where it's habitually as cold as -15 to -20C for a week or two. And sometimes a couple of months below -5C.

The herbs I grow that winter over and margoram, oregano, sage, winter savory, thyme, mint, and fennel. There are probably more. Those are only the ones I grow. The fennel has an annoying way of self-seeding everywhere...and the babies need to be dug - they don't verbs out easily. The mint spreads like lightning, too.

And then the annual herb I sow frequently during the growing season - dill, cilantro/coriander.

Basil I just set free seeds at the wrap up of the year, and start them inside in belated winter - planting out only after the night will be staying above 5 C.

Rosemary is about the lone perennial herb I CAN'T overwinter here. I envy that you can easily. If I remember, I'll transport a layered start of off one of the branches, pot it up and bring it inside for the winter. But repeatedly I forget, and then I own to buy a new rosemary surrounded by the spring.
many herb can grow in cold to freezing climates, and others may "die", but come put money on to "life" as the warm weather comes practical. i know that lavender can grow in almost any heat, and mint does really well too. dont pass up on any of them, and just hold out hope. the worst skin scenario is that a few will die. although it really depends on what herbs you hold, most will do well.