Strangely was experimenting with a Strawberry caipirinha before I saw this recipe. I used 4 Strawberries which I agree is probably too much, however substituted 15ml of framboise for 10ml of the cachaça; to balance this I put in 2 or three spots of good balsamic vinegar (like you do with bitters). Worked well as just gave a sweet but sour edge. Think it would work WITH the basil as well. Give it a go and tell me what you think?
So perhaps a “Strawberry Basil Caipirinha”. Just to check, your recipe? ½ fresh Lime, 3 fresh Strawberries, 3 fresh Basil leaves, 15ml Framboise, 1.25ml Balsamic vinegar, 60ml Cachaça