I know you're talking about tenor, but my experience of Lawtons is on Baritone, and it's been good. I have an 8*B Ebonite which is fantastic, it's an old one that Geoff Lawton made. Last year I bought a new metal 7*B, it was just as good, played superbly, but I sold it as I preferred the ebonite.
I recently bought a Drake Contemporary Crossover II for bari from Juju on the forum here, and it's really good as well, it has a full beefy sound and I can do anything I want on it. You'll see on the Drake website that Bruce Johnstone changed from a metal Lawton to the Drake, and from his description doesn't sound like he'll be going back. So this is another brand to investigate for tenor.
On the other hand, if you're looking for full and beefy, rather than loud and bright, why not consider a Link, it's the classic pairing for a Tenor, I'd try and get one that's been refaced so you know the rails etc are good, perhaps an old one, the Early Babbitt STM's are excellent and are a lot less than the Floridas. Or another brand is Barone (Phil Barone) - I have a Barone Jazz for tenor and it's really good, big sound, dark but with a good Linkish vibe to it - lots of people swear by them, and they come occasionally used.
Hope this helps, and hasn't confused your mouthpiece search.