the Pinal mtns are a good place since you live E. valley.
truth be told, in many of our deserts' riparian areas (in which most hikers seek, due to available water) you will many times find it easier to hang than find a suitable tent spot.
in the transition areas and above, trees are no issue.
some of us are doing a trip along the cabin loop, you should either a) join us or b) drool over the soon to be published photosets.
happy hanging!

see this?
http://hikearizona.com/article.php?ID=30&O=0