It's a mild shame the goat is minced, the first thing I'd suggest is curry goat if it was diced.
If you've got a grill I would be slamming kofte onto it. Here's a recipe for lamb which will do just fine with goat:
https://www.theguardian.com/lifeandstyle/wordofmouth/2013/jul/03/how-to-make-perfect-kofte
(You'll have to scroll a bit, but it isn't the usual spiel about someone's granny converting to Buddhism and feeding her 17 children on three potatoes a day, it's a worthwhile read)
I like them with gently pickled cucumber and red onion salad, chilli sauce, plus flatbread and yoghurt spiced with smoked paprika as suggested in the article.
Edit: Goat can be leaner than lamb, so try a bit out first and see if you need to add a bit more fat into the mix before you mix up the rest