All the talk of methods, no solutions.
First of all, the way you wipe has a lot to do with what comes out, which has a lot to do with what goes in.
I used to be a catcher's mitt guy and the Amazon would cry when I did my business. But the major reason for this is what came out required a little extra cleanliness so I could stay as close to godliness as I'm accustomed. I was also practicing this ritual a little too frequently. Like the OP, I had my 40 Days In The Desert moment trying to find enlightenment to this problem.
Then I found my new religion: I dropped coffee. I switched to green tea, several pots a day (everyone should do this, but I digress.) I also eat a yogurt every single day. I now get my business done once a day tops, and I occasionally go two days. Not only that, but you could put my ****s in a museum. When that happens, 3 wipes is almost pointless which is the nirvana I now live in. No lie, I go through 1 roll a week. I'm saving up to buy Paul Allen's yacht.