Given that you're using an Hennessy, the tie-outs will go a long way towards preventing this (it's why they're there; they help keep the netting off of you, preventing bite-throughs by mosquitoes).
If you find yourself in a spot where it's hard to get the tie-outs staked down in addition to your tarp, you can wrap the tie-out around the tarp guyline and then snap the mitten hook back onto the ring that the tie-out comes off of on the hammock. This uses the tarp as a way to hold the tie-out out.
Hope it helps!
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