Sonxx: Don't let ANYONE talk you out of the short sojourn to Jackson Hole, Wyoming from Yellowstone!
It is one of my most favorite scenic places on erf! If you do stop in town (Jackson) hold onto your wallet as everything there is expensive - including the tram ride up a mountain for an even more incredible view/vista of Jackson Hole and the Grand Tetons. Even if pricey those tram rides are well worth the money.
Be sure to plan one of your days in Yellowstone to arrive at "Artists Point" right about high noon as there will be no/fewer shadows to interrupt your viewing/photography of the world class vista from there.
Also a trip up Beartooth Pass (just north of Yellowstone Park) is incredible if the road is open in your part of June.
I have one of the current National park Passes and mine is/has been good forever and was $20.00 about 12 years ago when I qualified for it (age wise).
If you have youngsters you may NOT be old enough for that money saving pass.
Enjoy your time in the Rockies.
Hold into the wind
VarmintGuy