I am no expert on dragonflies, but could you try to encourage some native bats?
When the skeeters are eating me on the patio in the evening, I almost always see our neighborhood bats come out and start wheeling through the sky.
I think ours are little brown bats (Myotis lucifugus), and on the endangered list.
Who knows, you might even get some help from the state, if Texas has funds for bat enhancement?
Knowing you, it could be a fun project - like our threads on encouraging wood ducks!
P.S. My wife also likes having a potted citronella plant or two on the patio. Frequently if the mosquitos are eating my ankles, I can brush through the plants twice and it sufficiently dissuades the mosquitos.
P.P.S. I also agree with esshup that ruthlessly hunting standing water locations is probably your best defense. When our skeeters are horrific at the house, I almost always find a wheel barrow left "right side up" and full of water and larva, or a similar whoopsie. Of course, even in your forest they will always find one curled up leaf to raise babies!
I doubt they are coming from your big pond due to your abundant fish fry, but do you have gambusia? A handful in your forage pond might make a difference in the years there is some water in the bottom, but no BG in that pond.