I had a similar issue with my lab/border collie/mutt- she was just way too much dog for the way we were living our lives. We had a 5 year old Boston Terrier who was very low energy and she played so rough she hurt her a few times and they were constantly fighting because of it.
We had to re-arrange the way we were living our lives and honestly it's the best thing my family ever did- my parents started getting out more and my brother and I (who always had a rocky relationship) grew much closer. For awhile our lives became all about this dog and tiring her out. We are NOT an inherently active family, so she did great things for our health.
I'd suggest fewer but longer walks- I find short walks throughout the day just keep my dogs whipped up since it takes about 15 minutes for my dogs to calm down after we come back inside- try for 1 30-45 minute walk and 1 shorter walk at least.
We sent our girl to daycare because we could afford it, since you can't try to schedule a few playdates a week- there's nothing to tire a dog out like wrestling with other dogs. If you're on social media you could try posting looking for playmates, definitely try to find other young dogs.
Also, use those days off/weekends to get rid of her big bursts of energy! That's what really saved my family with our dog. Luckily she has good recall, so we take her on trails and let her run to her heart's content and she does big 100ft circles around us- gets out of sight and then comes back when we whistle for her. With a hound (I think that's what you said she is?) I wouldn't ever trust her recall 100%, but a *GOOD* extendable leash is a solid compromise. Keep taking her to that park!
Definitely don't get down just yet thinking that you can't provide her with a good home. You may need to be willing to rearrange your life for a little while and maybe become a bit more active but puppies almost all mellow out after a time- some more than others, but none of her behavior sounds neurotic, just like she has a lot of energy, which IME/O is the most likely to mellow out once they reach 1-2 years old (as opposed to, say, belgian malinois I've heard of that have to live in the garage because they destroy the house even after a 2 hour jog). My dog took until she was 2, and she'll never be a low energy dog, but it's now much more manageable.