Hi @Vee. Welcome to the forums 
I can’t comment on any tracks personally, but you can search for dog friendly tracks on the website. This link Bushwalks tagged Dogs Permitted within 100km of Caloundra, QLD - Aussie Bushwalking will show you any tracks within 100km of Caloundra which are tagged ‘Dog friendly’. This won’t necessarily be all of them but should help you get started.
If you find any others make sure to either add them to the site, or if they’re already there just edit them and add the ‘Dog Friendly’ tag.
Enjoy the walking!
Richard