Zion, Coyote Buttes, Bryce Canyon looking for suggestions

I would highly recommend a technical canyon descent. I don't know if you have the gear, but you can hire a guide in Springdale. Pine Creek and Keyhole is a good duo to do in a day. You can get permits the day of (usually). Pine Creek especially has awesome photo ops. At the very least there is an awesome swimming hole if you park at the first turn out after the bridge and hike down to the creek (there is a trail behind the sandstone retaining wall on the downhill side of the road there). PM me if you want details RE: the hike.

Good options for June, when it will be quite warm. If you're doing technical stuff (even the Subway) make sure you have the skills.

Other ideas:

Orderville from the top down (if you can't get the Narrows).
Drive up to Lava Point and hike the west rim out and back.
Buckskin Gulch.

Thanks, David.

Yes, we are a bit apprehensive about trying out the Subway given our lack of experience with technical descents. But you've offered some interesting alternatives! I'm particularly interested in the West Rim Trail… it looks like it could be done in a single day. Any experience with this?

+1 for Buckskin Gulch
This is one of the most amazing hikes in the world, and should be ok even in the heat of June.
Of course the others you list are must-do as well. Subway isn't that technical, but be sure you understand what's involved before you go.

West Rim out and back is easily doable in a day, the part up on the mesa is pretty flat. If you care to pay, you could book the Zion Adventure Co shuttle up there, hike down to the valley, then take the park shuttle back to Springdale. With an early start you could tag Angels Landing at the end (which is nicer late when there are fewer people, pack a picnic and eat dinner up there).

By canyon standards the Subway is dead easy, but that hasn't stopped a remarkable number of people from hurting and killing themselves in it, mostly in really dumb ways. If you're a sure footed climber with a bit of multi pitch experience, the Subway is well within your grasp. If you've never rapped before, it probably still is, but you should go practice a bunch first.

Orderville might actually be a good shakedown for the Subway. There are 2-3 short downclimbs/handlines/raps which would give you a chance to practice. The hike of Orderville is quite a bit longer and harder than the Subway, but the little raps are easier (mainly because they don't involve running water.

For the Wave, I assume you know that your permit chances are very low. But on the lottery day, you can secure permits for Coyote Buttes South on the BLM website. Not as famous, also limited to 20 permits a day, but much easier to get permits for. Driving to the trailhead can be dicey, so give that some thought.

If you get either of the Coyote Buttes permits, I would reconsider your decision to use Springdale as a base for everything. You want a super early start if you're hiking this in June and it can be a slow drive to the trailhead. Best to camp nearby the night before.

I would also spend the night at Bryce. In the canyons, you want to be there for sunset/sunrise. Ironically, Zion's the one place where I wouldn't be broken-hearted about missing sunset/sunrise since you're not situated on the rim like you are at Bryce and the Grand Canyon.