10 days and sightsee along the way, too?
Welcome to the RTA forums!
We generally recommend that people only travel about 500-550 miles per day. This will generally take you about 9-10 hours per day including short, quick stops for food/fuel/bio breaks. So you'll have a little bit of time to sightsee on the way but not a lot. You are about 2350 miles from Glacier NP. If you average 550 miles per day, this is about 4.25 days each way. Leaving you about 1 day in Glacier.
You could try to cover more miles but then you start getting into fatigue which lessens the fun you'll have on the trip itself. And give you even less time to sightsee along the way but then you could squeeze a bit more time for Glacier.
Anyway....I'd like to give you some advice on what to see along the way but I fear you're just not gonna have time for too much of that.
How many days did you plan on spending in the Glacier area?