Does anybody have a copy of Peidje Vidler's border collie book? I can't find my copy , but I think it has a diet recipe for dogs, with meat, vegetables etc set in gelatin. It might be possible to feed the mince in small quantities by adapting this recipe. Feeding mince in a slurry with water when reducing portion sizes also helps the dog to feel satiated at the end of the meal.
I must admit, however, that I tend to buy meat/chicken portions or meaty bones rather than mince, because I have found that some butchers dispose of old meat by selling it as mince, using preservatives to make it look and smell fresher. (I had a dog with preservative sensitivity, and I found it almost impossible to get preservative-free pet mince.) I believe it is illegal (at least in NSW) to put preservatives in mince for human consumption, but it does still happen, as evidenced by packages of mince that are nicely pink on the outside but brown inside.
I think beef shin bones (but never lamb or mutton shin bones!) are good value for dogs... lots of chewing with relatively few calories. However, keep them on a hard surface when they are chewing these bones, as grit on the bones can wear their teeth.