During the summer months, it seems like the ice maker runs out of ice at one point or another?

I bought a case of water in plastic bottles, I took a few, opened them and took about 1/4 of the water out. I put the top back on and put them into the freezer.

Now, I had a frozen bottle of water and a problem!

Instead of adding water back into the bottle, I took a pair of kitchen shears and cut the bottle open.
I peel the plastic off - it it still going into the recycle bin - and now I have a bottle sized chunk of ice that I put into a large tumbler or large mouth water bottle.

The hunk of ice lasts longer than smaller ice cubes in your drink.

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If you are doing to drink plain water, you can take that water from a few bottles - adding it to your drink - and freezing those bottles to replenish your bottle stash.

It takes a little work, but once you get a system going, it's pretty easy to keep a few frozen bottles on hand.