Eeeks, that's going to be extremely uncomfortable for your baby. If you must go, check out Soleo Organics sunscreen; it says: "made using ONLY natural and organic ingredients, according to Naturopathic principles for holistic health and well-being. A healthy choice: NO chemical UV-absorbers NO synthetic preservatives NO titanium dioxide NO benzoates NO petrochemicals NO artificial fragrances Because Soléo Organics sunscreen only contains natural and organic ingredients it is ideal for young children, people with sensitive skin and those who are simply health conscious." (of course I would check w/ your doc first, though)
http://www.amazon.com/Suncscreen-SPF30-2-6-Soleo-Organic/...
It's a bit pricey, but do a google search under the "shopping" banner and you'll be able to find the best price. This is the only sunscreen we use now in the summer and we love it.
Also, check out the Lands End spf water clothing & hats and/or www.coolibar.com -- an Australian company. We've used both brands and they're great!