You are certainly getting a lot of "good" advice. I certainly hope you can figure out a way to work things out with this dog. I had been thinking if you could rent a house with a fenced yard, you might be better off, but I know beagles have a tendency to bark often and loud, so the neighbors might be a problem in that case too. I realized after suggesting doggie day care that it could add up. Our local kennel, which I think is expensive for overnight stays ($24.50/night), charges $6/day for dogsitting. That is much more reasonable than what you found.
You still might have to consider finding someone with the time and space for this dog. My heart is with you. Good luck.