Not sure about baby wipes...but if you are out of ear cleaner, or just want a cheaper option, you can mix up a vinegar/water solution. I do a 1:1 mix (or sometimes 2 parts water to 1 part vinegar for a dog with some sensitivity/infection recovery issues). I use organic apple cider vinegar (bragg's). It only takes about 1 Tablespoon of vinegar to mix up all that you'll need. It's a lot cheaper than a natural brand of alcohol-free ear wash--and it's my vet's preferred solution.
Instead of a scratchy paper towel, I prefer to use a small 2x2 sterile gauze pad because they are very soft (available in boxes of 10, 25 or more the first aid section of any grocery or drug store, often on sale for $1/box).
If you are going to be on the go for an outdoor adventure and want to take them with you, just mix up a small amount of solution in a zippie bag, toss a couple of gauze pads into the bag, zip up, and you'll be good to go!