Sounds like you are in a hurry BUT it's only a half hour longer and 40 miles shorter to go through the Tetons/Jackson hole (one of my favorite places and one I can go back to often). You could make it faster and 60 miles shorter by going over Teton Pass on 22 (not recommended for most) so south out of Jackson to 26 to Idaho Falls, I-15S to I-86 to I-84 to Boise... a total of 670 miles which I doubt you will do in one day so all the more reason to go through the Tetons. Did I mention I really love seeing the Tetons, even as a drive through.
Diesel is $2.78 in ID Falls
This post is my opinion (free advice). It is not intended to influence anyone's judgment nor do I advocate anyone do what I propose.
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