How to make creamier and softer vegan coconut ice-cream?

I was making vegan coconut ice-cream with coconut milk base. Instead of using a can of coconut milk, shredded coconut with hot water was squeezed through a towel for coconut milk replacement. Then almond milk added and whisked together before putting in the back of the refrigerator (no ice cream maker). Ice cream is really hard and icy after one night. Is it possible to make creamy and soft coconut ice cream with coconut milk from shredded coconut or coconut flesh?