My tip for the park is to take in a little camp stove and a mountain house meal or something and cook out the back of your car one evening. All the big tour groups are cleared out by dinner time and you can find some semblance of solitude in the geyser basin watching a sunset with geysers ‘a geys-ing while eating your camp meal and sneaking in a beer.'Depends on relative term "close". Start very early, expect many "bison-jam" delays, 45 mph in YNP, much to see but not in a hurry. It is definitely worth the very long day, but more than one day is really needed.
YNP visitation is already up; record number for Memorial Day weekend. September visitation really ramps up during the elk rut.