Found these little battery operated Cool-Breeze Mini Personal fans at Menard's today on clearance for 75 cents. They were just on a table, so you may have to ask for them. They have foam "blades" so if they hit my bug net, no worries. They come with a neck lanyard. If you shorten the lanyard to about 3-4", it will hang straight down from a ridgeline for those stuffy nights. If you leave the lanyard full-length, the fan body rotates too much.

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I had purchased some similar ones from Walmart for $1.88 that looked a lot like these, but the battery door slid off at the bottom. When I replaced the included battery after it died only an hour after turning it on, it would only work if I duct taped the door tight and squeezed the fan body. No good. These have a battery door on the back. Much better design.