Crazy Cat Lady
Ah! If I have correctly understood your message, you are not familiar with all the 'large/giant' breeds. When the Mrs and I wanted a dog (this was many years ago) we went around various large shows specifically searching for the largest dog we could find tat didn't have a major slobber problem. We rejected Newfies, with considerable regret, precisely because they did have the problem - many of them wearing bibs to queue up for the showring on a warm day! What we finished up with (I refer you back to the illustration!) was a Bernese Mountain Dog (they may go under slightly different names in other countries, and Americans generally go for a short-haired equivalent). At the time (early 1980s!) they often reached 8 or 9 stone (50-60Kg) but breeding has reduced the normal size somewhat since then. They do slobber a bit, but far less than other dogs of their size. They are soft, affectionate, strong and stupid. One of the breed guidebooks says they take instinctively to harness, and I found it more-or-less true (unlike our old GSD-cross, but that's another story)
My first Rottweiler didn't slobber. My second Rottweiler is nicknamed "Goober" for slobber-related reasons...