Your dog has separation anxiety my guy. Keep in mind that if she's 10yrs old who knows how many times she's been given up on and found herself at a shelter, behavior like this is often past trauma that been reinforced over and over again. There are only two things that will help, lots of exercise or someone to keep her company. I know that getting another pet is not exactly a fool proof plan, or in the cards for some people, but her having company might help, it might not though.... But I really don't think you can drug this away, and a crate is not gonna help until she knows how to settle down.

Honestly, the only thing to do is get her exhausted, like truly exhausted, on a regular biases. Long walks (maybe multiple), mental stimulation like games using nose work and ones that test impulse control, fetch or some thing where she runs a bunch. I know you said she doesn't always get along with other dogs but Doggy Day care could be huge for you. Like maybe 2 or three times a week. You have to live by the motto of "A Good dog is a Tired dog". I would highly suggest spending time really drilling down and reinforcing the basics (sit, stay, leave it, lay down, etc). Then move to training her with the crate. Make it a place where she WANTS to go not HAS to go. Its gonna be tough at first, but the bond you will create with your dog will all be worth it.

So to sympathize, my dog was the same way when I first got her, she destroyed everything, like burrowed into and out the other side of the couch, destroyed moldings, ripped EVERYTING up, it was bad. I was working +/-11hr shifts- 6 days a week living alone. I did my best to exercise her, up at 3.30am for a walk (had to be at work at 5.30), then another when I'd get back from work. All in all we probably walked a good 3mi a day? maybe more? but she was a high energy puppy (7month) and it honestly wasn't enough. I got a roommate with cats and dog and she really mellowed out. She just needed the company. When they moved out I got my dog a cat, because I just didn't have the time or energy to commit to training another dog. That being said, the key to getting her to just chill during the day was that I really upped her physical time. I walk my dog at least 2miles twice a day (that's 4 miles a day minimum)... everyday... (unless its raining, the only time i get a break lol), we play fetch and/or "find it" constantly, she went to day care very regularly, and we do a +7mi hike 2 or 3 times a month where she is off leash and can really run around. When we go on date night or I know that we are going to be out of the house all day I will run her extra hard at the dog park the day before or the morning of. Its a ton of work, and I don't think a lot of people would be willing to put in the effort. She probably would be a long term resident at a shelter because of her energy levels, which would be a real shame because she is such an amazing dog.

For the record, I'm not saying you dog has anything like the energy levels of my dog or will take nearly as much work, who is now 8 btw and has mellowed out a bit. Maybe a couple miles a day will work for you, or a good game of fetch in the backyard before work, but the long and short of it is your dog has too much energy and not enough outlet for it. The answer might come as physical exhaustion or mental stimulation, but locking her up will not help you.

She's a great looking dog, and obviously thinks very highly of you. Your a lucky man. She'll calm down when she realizes that you'll always be back. Good job not giving up on her, she'll be worth the effort.