I've moved my chams out all summer every year for many years.
I move them out in the spring and leave them out all summer until fall. Most species like panthers are good down to 50 at night, veileds can go even cooler (I go 40 for veileds).
I put my cages where they have sun nearly all day, and then make sure they have shade within the cage itself as well as sunlight. Sometimes this is acheived by something as simple as placing a board across the south end of the top of the cages, sometimes I simply rely on the shade from the potted plants if they have had a few years to grow.
The cages are placed on rustic tables, tied to the tables and then the tables are staked into the ground. We have one huge storm most every summer that ends up blowing trees down, etc, so securing the caging so that it can withstand gale force winds is a must.
I use a patio cooling mist system to provide water and cool the cages when necessary. Veileds and panthers are very heat tolerant provided they have regular water and can escape the sunlight into the shade. But when temps climb well into the 90s I tend to run the misters longer for them (hours sometimes most of the afternoon if temps are mid 90s or above) The misters dampen part of the enclosure, but not the whole thing- the lizard gets to choose and use the misters according to his/her instinctual needs for cooling/moisture. Some species like jacksons or melleri require lots of misting to keep the cage cool enough- when temps climb into the mid 80s the misters go on and may remain on most of the day if I'm working with species that like things a bit cooler.
As for predators- I only ever had a single animal break into any cage, although I've seen lots of potential predators walking around between the tables. The animal was a racoon and the cage was on the ground, not up on a table. It had baby dilepis in it. The coon ripped the metal screen, entered the cage, at all the baby dilepis, left a big poop to spite me in the cage, and then went home to bed. I took the poop to the extension service and they identified it as a racoon. Since moving all the cages up on tables I never had a repeat problem. And that is significant- I've had well over 100 cages out in the yard many years and have been keeping things outside in the summers nearly 20 years now. In my yard I've seen dogs, cats, coyotes, a bobcat, skunks, opossums, field rats and mice, and a hawk that got one of my chickens and the only other break-in I had was a preschooler who liberated all my corucia (!) one year. So watch your neighbor kids.