Travelling from Nevada to Alaska in the Middle of Winter

First thing, you should be contacting Canadian Boarder Service ( CBSA)
CBSA

And find out what you will need to do and or documents required for entering into Canada and for what your required to have with you for your transit through Canada.
Then you need to the correct tires on your truck while in BC.
The Yukon has it;s own requirements for transit you you had better red / call them as well to ensure you understand those requirements

Yukon transit

BC Winter Driving regs
Your not required to have chains for your truck, and I’ve pulled trailers all over BC in the mountains including 35ft 5th wheels and have never felt the need for them on the Hwy.

Also, your only going to be permitted to cross the land boarder at a few locations so that will be something to bring up with CBSA when you call them.

BC Hwy Cams

Theses links will give you some idea of what your looking at just for transit through Canada.

Good luck with your planing, and bring extra socks ( grin)
Soup.