You can only get ice at Snowland regardless of the season you are currently in. To get there you must first go to the Southern Islands using Charles Travel Agency (unlocked in Town Renovation #4) so that the option to go to Snowland become available. It costs 55000G to go there though.
?!?!?! Are you kidding me? It is going to cost me 55,000 gold to travel to somewhere to get ice? Dang I got over a dozen recipes that need ice. That's freaking insane!
It's magical Ice that never melts... Yeah I thought it was stupid you had to work so hard to get ice, especially when you have a fridge that keeps things fresh forever... guess they forgot the ice-maker.
Well, if you're trying to get recipes, it's easier to go to Snowland and find them, since the fish pool is lower there than any other place. You wouldn't really be going there for Ice, per se, but you can also gather it while fishing for recipes.