I agree with Pat. Rarely possible, although a par 3 with multiple tees would come the closest, and rarely necessary!
Imagine a green that presenting a clear and preferred option of say, a high fade, but you hit a low hook and can still reach the green. Not enough challenge, IMHO, if too many shot types on one particular shot work. If they do, then the target must be too big to challenge a certain shot, or the hazards too benign.
My question about options is, "How many does a hole really need?" In my mind, two is a nice, efficient minimum. Three is possible, but not for all level players, and four is probably unnecessary and confusing. At some point, if all options are available, the hole can't strongly test any particular skill.
To me that high fade green (presuming there are some that require a myriad of other shots) should have a less desireable option to get to the fat middle through run up, or straight shot, etc, but almost require the fade to get to the Sunday Pin, or suffer minor consequences, ie, being farther from the pin, or in a hazard.
That brings up the question of hazard placement. Who should be penalized more, a high fade that goes too far right, or a hook that goes too far left on a green set up for a fade?