This is so amazingly simple that when I first heard it, I was baffled I hadn't thought of it myself. Really? That's IT?
Seriously. It's THAT simple.
Take whatever drink you're having & freeze some ice cubes with that drink. Use those ice cubes (made from the drink you're having) instead of "regular" ice cubes made from water in your drink.
If there is a drink like tea, a pop, or a flavored drink that you have on a regular basis, freeze a gallon-size baggie full of those ice cubes so they're always available when you want a drink.
See. I told you it was amazingly simple!