Can I make a gluten free version of this by substituting what kind of GF flour?

I have no idea! I always use regular flours 'cause I'm not gluten-free.

I think a cup-for-cup GF flour might be better, texturally. Try King Arthur Flour's GF AP flour.
I also like this ratio from Gluten Free girl. To make your own GF flour, you will need a kitchen scale. Weights of flours and starches vary:

GlutenFree Girl's Cup for Cup GFree AP Flour:
glutenfreegirl.com/

200 grams superfine brown rice flour
150 grams sorghum flour
50 grams potato flour
250 grams sweet rice flour
150 grams potato starch
100 grams arrowroot powder
100 grams cornstarch

Thanks so much Mike, I will give it a go and let you know!
Best,
boudicca49

almond flour... it will work.