Having to give up Lucille with great sadness

Lucille is a gorgeous loving girl. She loves people and their company. She needs to go to a loving home where she will get lots of cuddles and attention. No other pets as she doesn’t get along with small animals. She gets along with some bigger dogs but it depends on the environment, situation and the dog itself. She needs lots of stimulation. Ideally a home with farm land so she can run around alot as she gets anxious if she has too much built up energy. Our vet suggested a farm so she can chase rabbits etc. She also needs secure fencing, she never tries to run away but if there is another dog or animal walking past the yard, she will try to get to it.
She is a smart dog and can be easy trained. She knows the basics: sit, drop, shake, wait for food, stay, come. Like most dogs, she loves her marrow bones which she burries in the dirt for later.
I am on the sunshine coast, Qld, no distance is too far for the right home. I have family in melbourne so that can also be a good option.

I am heartbroken that I have to give up my baby girl.