i'm editing as i just did a bit of research myself - since i was surprised at your post, since sawyer's doesn't have deet in it...and all the recommendations say deet...
The Most Effective Insect Repellents
To find the most effective mosquito repellents, we tested products containing a variety of ingredients, including deet, picaridin, oil of lemon eucalyptus, chemicals called IR3535 and 2-undecanone, as well as a variety of plant oils, such as cedar, citronella, geraniol, lemongrass, and rosemary.
The most effective products against Aedes mosquitoes were Sawyer Picaridin and Natrapel 8 Hour, which each contain 20 percent picaridin, and Off! Deepwoods VIII, which contains 25 percent deet. They kept the mosquitoes from biting for about 8 hours. (The Sawyer product was our top insect repellent overall. It was the only one that also kept Culex mosquitoes, which can spread West Nile disease, and deer ticks, which can spread Lyme disease, away for at least 8 hours.)
Ben's 30% DEET Tick & Insect Wilderness Formula kept Aedes mosquitoes away for 7.5 hours and Repel Lemon Eucalyptus, containing 30 percent lemon eucalyptus, stopped them for 7 hours.
The IR3535 products didn’t make our list of recommended sprays. Neither did repellents with 2-Undecananone or those that contained 7 percent deet or less than 20 percent picaridin.
We advise
skipping most products made with natural plant oils, such as California Baby Natural Bug Blend (a blend of citronella, lemongrass oil, cedar oil, and other ingredients) and EcoSmart Organic, (which includes geraniol, rosemary oil, cinnamon oil, and lemongrass oil). They did not last for more than 1 hour against Aedes mosquitoes, and some failed almost immediately.
In addition, those products are not registered by the Environmental Protection Agency, which regulates skin-applied repellents and evaluates them for safety and effectiveness. Most plant-oil products are exempt from scrutiny by the EPA because the agency considers them to be a minimum risk to human health.
Instead, the CDC recommends using EPA-registered insect repellents. To see if a mosquito repellent is registered by the EPA, look for its registration number ("EPA Reg.") on the back of the label.