Cut all the fruit into 1" pieces.
Heat the coconut milk either for 1 minute in the micro or over low heat on the stove. Pour into a saucepan over low heat.
Whisk the eggs until very frothy.
Add the eggs to the warmed coconut milk, whisking constantly.
Add all the fruit and keep whisking.
Add the vanilla and pinch of salt. Keep whisking.
Add 2 Tbsp. frozen pineapple concentrate. Keep whisking.
When the temperature reaches about 150 degrees, remove from the heat and pour into a separate bowl.
Stir in 1 cup sweetened coconut. Cover with plastic wrap and chill in the refrigerator overnight.
The next day, blend this custard fruit mixture well. You may need to do this in batches.
Freeze in an ice cream maker according to manufacturers instructions. My Cuisinart usually takes 20 to 25 minutes to freeze a quart of ice cream. This froze in 10 minutes to a beautiful soft-serve consistency.
Place in the freezer and freeze for several hours to obtain firmly frozen ice cream.
Remove from the freezer about 10 minutes before scooping and serving.