What to do with my dog having bloody noses?

I have a beagle mix who is about 6 years old. Recently, she started having bloody noses. The first two weren't bad at all and I just figured it was a busted blood vessel because it followed a violent sneezing attack (I read about it on the internet). She later had a really bad one where we took her to the vet emergency room. They said her liver was enlarged after a body ultrasound. We didn't have enough money to have everything done that they wanted to do (the vet said the ultrasound was #1 in his opinion). She was fine for several weeks, although we kept her sedated for a good part of it. Now she is starting to bleed again and I don't know what to do. Do I take her to the humane society or a pet rescue organization? I would much rather her be healthy and live, even if it isn't with us since we can't spend hundreds of dollars on her. My fear now is that we will be charged with animal cruelty or neglect, when that isn't the fact. Unfortunately, the economy has taken a toll on the amount of money we can spend on our pets aside from normal care/diet/etc. The vet said that nothing really needed to be done until her demeanor changed. She is still eating, drinking, acting regular and still shaking her little tail when she sees us. Our only other option is to put her down, which I'd like to find an alternative. Any ideas on what I should do and what consequences could come of this? We are located in Orlando, FL and have looked into taking her to the Humane Society or Pet Rescue by Judy. Thanks in advance!