You haven't specified a budget, and not getting into discounts I'm guessing you are considering something under 30K, and it must be new. I don't know if having some sort of complications is a must for you? If not there are plenty of nice time only watches from AP, VC, PP (I know those don't interest you, although with their recent 7% reduction in MSRP some might be more appealing), or F.PJ. You could for a time only 2 hander the VC PatrimonyTradititionelle automatic 43075/000R-9737, is a lovely watch with the famous ultra think Cal. 1120 (it is the sister caliber to the 2120 in the AP ultra thins). They did a nice job of incorporating the Maltese Cross into the rotor. There are also manual wind models, some models with a subdial for second and some with subdial and date (although, I think they look better without a date. AP has is Jules Audemars line of dress watches...nice and simple...although I find some a bit bland. With Lange there are the Richard Lange models and some 1815 up/down models that might work for you. Breguet makes nice watches, I'd just rather have something from the above companies.
For things with a few small complications you could go with the Journe. Or if it can be outside of PP, AP, VC, and Lange... Piaget's Altiplano's are very high quality, under appreciated watches with movement made all in house. They have also supplied movements to other fine watch makers in the past. I love their 40 mm manual wind model, with seconds subdial at 11. The one on the right is ultra thin with the movement mounted directly to the case back and visible through the front of the watch. Sort of an interesting take on a see through back, but one you don't have to take off your wrist to enjoy.
Or Catier's Rotonde is another nice choice. It was previously only available in precious metals and is now available in steel with some small complications for under $10K . Its quite a value. In gold they are still well under $30K. Regarding the one on the left, I do wish they had not cut into the 12 marker for the date on the dial, but that may not bother some people. They are available in wg with a blue dial for the one on the left, or grey dial for the one on the right, and both have silver dials if you choose the steel models. These are really beautifully done and quite reasonable for what they have to offer . The Rotonde is one of my favorite round watch cases and must be seen in person to appreciate. They are very robust cases and the lugs are really handsome, but unfortunately you can't tell that from the photos. In the end there are tons of round watches that are quite nice from a variety of makers. I also limited my suggestions as you presumed you wanted to stick with round cases.
If done nicely they can be very attractive, but generally they don't do much for me.
Beautiful movement. I can't speak for Stitchy, but from a durability/reliability I would be a bit apprehensive about a gold movement.