Running Sandals?

Has anyone ever tried sandals made specifically for running?  My feet sweat a lot and I'm very susceptible to athlete's foot, so I've wondered about running sandals.  The only kind I could find online, that looked at all promising, are these:

http://www.biteshoes.com/store/pc-1402-4-xtension-3.aspx?reqid=1402&reqProdTypeId=41p&subsectionname=footwear&section=products

It just seems like such a great idea to me:  take the nice sole, cushioning, and support of a running shoe, but use a sandal-like top to allow for more breathing.  (And I vaguely remember seeing a thread once about someone using sandals for the run leg of an Ironman...)