Hey, Charles2, I did a little open-seat research for you and was intrigued at the compliments that the open-front, commercial-grade Toto SC134 seat seems to get from folks who had bought it for home. It's one of the ones noted by Toto on the spec sheet for the CST744S. If you look at the customer reviews at the major housewares merchants' web sites, they're almost unanimous that this is one nice seat.
Edit: By sheer coincidence, after I posted this earlier, a family member allowed as how the Toto SS114 seat on our Carlyle II had "broken". I assumed it had just slipped on a loose attachment bolt. Nope -- one side had come apart, apparently from significant torsion (don't ask). So I took the thing off the toilet, disassembled and reassembled it and reattached it...good as new. However, in doing so I just have to say that every piece is really nice, solid, heavy plastic or metal, an interesting and solid design, and it just exudes quality. Apparently, this is a newer design of the SS114 where they have kept the model number, because I saw lots of bitching on one seller's web site about how the seat shipped didn't match the photo on the site or the SS114 that had come on their old toilet, and posted their own photos to prove it. Indeed, my 114, which came with the toilet, is different from the old product photo but exactly what the seller was selling. (People were actually sending it back saying that the wrong product was in the box, even though the box had the right number. The perils of significantly-redesigning something and giving it the same model number, I guess, but if I were the merchant I would be pissed at the manufacturer for causing all this tsouris.) Regardless, my point is that the current SS114 seems to be a very nice closed-front seat.