I ordered a towel ladder from Amazon, got it, threw some towels on it, and am not quite loving it. It's only 60" high, so it's a little diminutive and flimsy. It doesn't hold that many towels either. It's going back. So, while looking for solutions, I found some cute ideas. If I can't use them, maybe you can...
A window box mounted inside stores towels without using counter or cabinet space.
Stackable wine racks are the perfect size for rolled up towels.
A nice antique piece could store plenty of folded towels if you have the room.
I'm thinking that the wine rack idea might be a solution I could use....it just might be constly since the wine racks are $10-12 each. I'll keep you posted.