"We've had a Drake at our house for about 6 years. While my wife has not had a problem with it, I have"
I don't know what to recommend for you in this case. Most bowls are pretty similar with all the manufactureres.
If you have a problem peeing in a bowl, I don't know of a sure fire brand that would work in your case. I don't have that issue, and your wife doesn't either.
"We also had the occasional clog -- which I blame on our plumbing's very odd venting system. In those situations a plunger was not very helpful due to the shape of the bowl not conforming to the round shape of the plunger."
I have no problems using a plunger on these bowls. I read that some people do, and all I can think of is that they don't know how to use a plunger.
The standard rubber plunger has the small end tucked in when it's in the store. When you take it home, reach in and pull out the small end.
Problem solved.
If you can manage to plug the bowl, and you can plug anything, it may be several factors.
The brand of paper makes a difference. Charmin is maybe the worst for plugging.
Sometimes what is deposited is just too large. I would say that maybe 1% of the people calling in may have a medical issue, sometimes it's the medication they are on.
In that case, they may need a pressure assist bowl. Kohler makes a nice Highline model with the Flushmate tank.
Or perhaps something with a large trapway. Caroma makes a gravity bowl with a 3" trapway. A bit splashy, but you can flush a potato down it.
For the other 99%, I'm selling the TOTO Drake all day long. I have sold thousands, and most of those are repeat sales.
Do they please everyone? That would be impossible.
And by the way, I often sit down while flushing. Not a problem.
If I get a call about a plugged bowl, not a problem either. We show the homeowner how to use their plunger so that they can do it next time.