It's best not to cross the U.S. border before May 15 and take your time going up. Some of the lakes will still be frozen. You shouldn't have any snow issues.
As far as being apprehensive of driving it alone - don't be. You'll have lots of RVers on the road with you and you'll no doubt see the same folks time after time all summer. There aren't many major roads and everyone goes the same places. Don't be tied down to traveling with others. Sometimes you'll want to stay longer at a spot and sometimes you will be ready to move on sooner.
There's a great post in the Alaska forum of this site of folks going in 2015. They'll keep that post going all winter/spring and you'll get lots of good help.
Also, check out the 'Sticky' on the top page of that forum for a post with lots of suggestions. Have fun planning! It's a great, easy trip.
Full-Timed for 16 Years
.... Back in S&B Again
Traveled 8 yr in a 40' 2004 Newmar Dutch Star Motorhome
& 8 yr in a 33' Travel Supreme 5th Wheel