I would get some 3/4" pvc pipe, 2' wider than the width of the wooden frame. Zip tie the pvc to the low end of your tarp through the eyes. Tie a piece of thin rope to it in the middle, long enough to reach a few feet off the ground on the high side. Will keep the tarp from folding up into itself. The pvc will ride up and down the wooden frame using the rope.
Might be able to find a couple fans like this, and attach 2 to the center 2x4 roof support with some water pipe straps.
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Have them facing down and towards the open ends. If you've got a couple scrap pieces of 2x6, screw them near the top of the slope to drop the fans down about 6", keeping them far enough away from the tarp so it doesn't catch.
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The pvc pipe is a good idea. But you really think I need fans? It’s a pretty big gap on both ends wide open. Also 3/4 of the chain link is open. And the front where it slopes off. The tarp is really just covering the tops. Lots of air movements in there. And it comes off in the morning. Only put it up for rain today. Next 5 days no precipitation. It will be off.