Some screw in ground anchors would give you something to lash down to as opposed to lashing to the frame like they do with high tunnels.
There are quite a few different styles. Some might work better in sand where another would be better for clay.
https://duckduckgo.com/?q=screw+in+ground+anchors&iax=images&ia=images
The orange ones above are 15" long with a 4" dia helix and are 4 for $20. https://milspecanchors.com/ground-screw-anchor-1-2-x-15-with-4-helix-set-of-4/
Orange Screw ™ brand looks like they'd be good for rocky soil but are pricey. $25 for two large anchors. https://www.orangescrew.com/products/large-ground-anchor-black-2-pack
I would imagine you'd find china knock offs on ebay/amazon. They were designed with tens and canopies in mind. Paracord would work good as the rope/line because it's smooth and less apt to rub through the plastic. It's also strong and cheap.
I made a bunch of ground screw anchors once using 1/4" fender washers which are thin and almost 1 1/2" outside diameter. I made a cut with tin snips from the outside edge to the center hole and then used pliers to bend into a helix. Then I slid one on an eye bolt and tack welded it and repeated for the rest. That was for Florida sand and just holding 4x8 tarps for a day.
For this clayey loam I have here in MO, I would use 3/8" fender washers and eye bolts or maybe try and find 3/8" rod or #3 rebar, cut them to length and bend my own eye on one end. The #3 means 3/8". The #4 rebar is 4/8" aka half inch. A 20 foot length or #3 rebar is $15 or so and fender washers are $0.30 ea. That's a lot of anchors for $25-30.00 but I have a welder and torch so that would work for me.
Since mine is small low tunnel I have been throwing something on top to keep it from blowing away and that has worked so far.
However, I have some of these squirreled away somewhere and I think I'll dig them out:
Coghlan's Twist Anchor Plastic Tent Stake, Orange $1.88
These are meant for tents for camping and I would NOT use these for a real high tunnel, I would use the ones you mentioned.
(I used mine as anchors for the paracord for my suspended tomato plants!)
**Looking at that high tunnel, it might make a great run for poultry. Till the soil, put the coop at one end,
put up your high tunnel, provide ventilation, and let your chickens eat and fertilize the run, and occasionally move it to your next vegetable plot. (Says the man who has no poultry!)
In the 10 years I worked for Jung’s we had to replace our Hoop House plastic (and a few metal parts) 2x due to straight-line wind damage.
Man, what a job!
I’ve been lucky so far this season - no damage to my greenhouse like there was this time last year. Of course NOW I’ve jinxed myself!
That’s what I would need. We tend towards a lot of wind.