As of
August 9th, Canada has been allowing
fully vaccinated travelers to cross the land borders:
To qualify as a fully vaccinated traveller, you must also follow these requirements:
1. Get a pre-entry test
2. Quarantine plan in case you donโt qualify as a fully vaccinated traveller
3. Upload proof of vaccination in ArriveCAN
4. Checklist of what to have ready at the border
5. Arrival tests - randomized testing and exemptions
So under current restrictions, I don't see why you could not travel to Alaksa as long as you fulfill the requirements. I have a friend that just drove into Canada last weekend for a family event and he had no problems getting in.
If you do not qualify as a fully vaccinated traveler, then as you said, travel is restricted to
essential travel only.
Of course, this is all subject to change as COVID evolves, so if I were planning this trip, I'd make sure I had refundable reservations (or be willing to eat the cost if I can't travel).