Thanks for the update. Glad to hear that she is making progress. All our dogs have come from the shelter. Our current ones, Maggie and Mica, both take trips with us and even go on rides in the Jeep on weekends when we aren't camping. Mica curls up and goes to sleep, occasionally looking up and out the window. Maggie, shows a little nervousness at the first of the ride, but we know that it's because she has to go to the bathroom right away after a few miles on the road, so we schedule a potty break. After that she's fine and relaxed.
Keep up the good work and keep us posted. She is a beautiful girl. The fact that she is showing you her belly means she trusts you.