do they have a store there to buy ice and beer if we run out of it

You will have to check but, I believe there is a place. We needed a bunch so, we drove about 30mins to a Walmart in Merced.

When I was there a few weeks ago they did but only open on weekends.

And it is kinda over priced

Yes, they do. But it is single beers or make your own 6 pack