Onions (green and white)
Aloe (not really an herb I know)
And maybe Parsley
Mixed bag of stuff: garlic cloves are usually planted in the fall to over-winter and sprout again in early spring, harvest in mid-summer.
"General Guidelines for Garlic Planting:
Zones 0-3 (if no permafrost): Plant garlic in early to late September. (Hardneck) Garlic can grow well in cold climates including some parts of Alaska." https://greyduckgarlic.com/Garlic_Planting_Chart.html
I don't know where you are in Alaska. Here's a cold hardiness zones map of Alaska:
https://www.plantmaps.com/interactive-al ... ss-map.php
Apparently Alaska has an extreme range of climates all the way from zone 1 to zone 7.
I don't think I can say a lot more without knowing more about where you are and what your climate is like and cold hardiness zone. For example, mint is a perennial, best grown in a pot. Some mints are only cold hardy to zone 5. Peppermint is cold hardy to zone 3.
Parsley is a biennial. It grows the first year, then dies back. The second year it comes back and then flowers and sets seed. But it will only survive winters down to about zone 6. If you are colder than that you could just grow it as an annual, starting it over every year.
Asparagus is a perennial, which is hardy down to zone 3. It needs its own bed where it can stay undisturbed. It is best planted in the spring, but then you can't harvest any the first year and hardly any the second year, while the roots are getting themselves established.
Artichoke is a perennial which is only cold hardy to zone 7. If you can find well started plants (which I would expect to be rare in your area), you might be able to grow it as an annual, starting over each year, but it will be expensive and not very productive that way.
When is your average last frost date?