Wow! You guys are pawesome! Thank you so much for all of the great opinions and advice. It is great to hear so many different viewpoints and it has given my people a lot to think about.
So here's the update. My dad is now more "open" to this whole adoption idea (my mom says it's because she asked St. Francis for intervention!). I don't think he's especially crazy about the idea, but he wants my mom to be happy. However, he is going out of town to guest conduct and will be gone until Sunday. My mom has a big exam and is playing some gigs this weekend. So if we get Eddy, we can't go pick him up until Sunday afternoon, realistically, to make sure he gets a good start with us. Dad said we could go see him on Sunday. My mom went and visited Eddy on Friday, and then went back again today at lunch time to walk him. It turns out someone has now applied to adopt Eddy!!!! My mom was crushed. However, that person has not decided 100% if they want to adopt him or not. So we are waiting to hear.
Eddy Rocket was "dog of the week" on all of the shelter posters around town and he was on the local cable-access TV show "Pets Without Partners," so he has been getting some good publicity.
Lots of drama and no news!! But thank you for the advice!!!