Mike,
Some of the spots I would recommend at this time of year:
1. Madera Canyon - south of Tucson: Flame-colored Tanager, Blue-throated Hummingbird, White-eared Hummingbird, Elegant Trogan, and I've heard there is a pair of Berryline Hummingbirds. All except the Trogan appear to be hanging around the Kubo Gift shop.
2. Fort Huachuca - outside of Sierra Vista. There are two main spots on post the first is Upper Garden Canyon Picnic Area - there has been a couple of pair of nesting Elegant Trogans there the last couple of years, and further up the Canyon are a number of hard to find species. Also up Huachuca Canyon - different hard to finds or local species saw a pair of Sulpher-bellied Flycatchers gathering nest material at the beginning of June.
The next three spots are all south of Sierra Vista:
3. Ramsey Canyon - always good this time of year for hummingbirds, also flycatchers, some hawks, songbirds and warblers.
4. Beatty's Orchard upper Miller Canyon - Definitely good for Hummingbirds (white-eared, magnificent, Broad-billed, and Broad-tailed to name a few), Hawks, and a walk through the upper Miller Canyon trail will give up Red-faced Warblers, and a number of other nice species.
5. Ash Canyon B&B - on Highway 92 turn at Turkey Track Road (run?). This has to be my favorite, sit down and enjoy the birds place. You don't have to stay there to go there. Mary Jo opens her yard from sun-up to sun-down. She has an exceptionally wide variety of species: I've seen 5 different types of woodpeckers in 30 minutes to include the Arizona Woodpecker, and she is one of the few places you can almost be guaranteed a Lucifer's Hummingbird.
6. San Pedro River area: both east and west of Sierra Vista, you can try the San Pedro House area east of the city - it has 2 ponds and the river. And again taking 92 south to Palominas the area behind Casa de San Pedro on the west side of the river OR San Pedro Inn on the east side of the river.
7. Patagonia area - Paton's house for hummingbirds, especially the Violet-crowned; the
Soniota Creek Preserve (not open Mondays and Tuesdays), and the Patagonia Rest Stop west of town - Tropical Kingbirds can be seen there now.
Hopefully this will give you some starters. Let me know if I can be of other help.
Lisa