Thanks to everyone who replied to my earlier thread. I bought the All Terrain Kidsport Natural 30spf SPRAY () and tried it on DDs today. It left no white residue at all! It was reasonably priced, scored a 3 from EWG with a "low" in health concerns, and was recommended on the safe mama blog that someone posted in the thread. The only drawback is I've never seen it in stores. But, winner, winner, we have a winner!!! I really appreciate all of your advice.
ETA2: Thanks to Belleoftheballflagstaff for the orginal recommendation.