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I was focusing on outcome results (3-18), not mechanics of creation. As for those mechanics, I had also considered 3d6 + 1d8 and drop the lowest for a 3-20 range and then a 3d6 + 1d4 as an offset. Less volatile but less chance of reward also.

I am curious if anyone has ever changed the standard 3d6 ability score creation and if so what type of results you had. Specifically, I am considering letting players use 3d8 for ONE ability score while also having to use 3d4 for another. The other four would remain 3d6. Also they would have...

I think this is an excellent question, but I doubt any of us would like the real answer. I sadly fear that *this* is exactly the course that WotC/Hasbro has decided to take. We, the old time PnP D&D gamers, may number in the 100,000's... maybe even in the millions... but the world potential...