Underground or wireless fencing

It's not likely to be a great solution for you. If your dog gets 'fired up' in the yard to the point where she's going over the fence, it's entirely possible you'll pay a bunch to have the electric fence installed and she'll just blow through it the next time she gets overly excited. When this happen, frequently the dog then is afraid to come back into the yard because the shock happens regardless of what side of the fence the dog is on, and she' s not hyped enough to forget or ignore it as she was when she was leaving.

Additionally, any electric shock collar can lead to potential behavioral issues with certain sensitive dogs or in certain scenarios. Say she gets worked up and runs to (or over) the boundary when she sees another dog, getting a shock. If she connects the shock to seeing the other dog rather than her movement towards the boundary, she might start seeing other dogs as scary or a threat to be scared away, causing her to blow up even more every time she sees one. Possibly even generalizing to other dogs outside the yard, such as on walks. Just one example, I've also heard of dogs being afraid to use the yard at all, or dogs who are afraid every time they hear a beep remotely similar to the 'warning' beep the boundary collar gives when the dog is getting close to the fence line. Sometimes it's fine and the dog has no issues, but you have to take the possibility of these behavioral consequences into account.

I'd look into seeing if you can get some livestock fencing/netting or chicken wire to shore up the low spots in the fence or gaps. Not pretty, but inexpensive and easy to break down or move if you need to. We use livestock netting to run a makeshift fence around our rented 'yard', as it's on a rocky hill that'd be difficult to fence even if we had the landlord's permission and wanted to spend the money. Had to adjust it a couple times after our dogs 'helpfully' pointed out weak spots in the perimeter, but overall it's worked well.

In your case it seems you have a physical fence but the dog breaches it.
IF your dog was not jumping the fence (was breaching it by wiggling underneath, for instance), the underground fence WITH the physical fence might be an option as it would cause the dog to avoid the fence altogether.

The issue you have is your dog gets into a high state if arousal and goes flying over the existing, physical fence. I agree with others who think it may not work for your dog because she will simply fly through it.

I know someone who installs these fences AND trains the dog as well. He says the "secret" in making these fences work is the training... It is not a matter of burying a line, putting up flags, slapping a collar on the dog and letting the dog and fence "have at it."

So, PERHAPS with correct training with a professional, it could work. Just tossing that out there...