craig... the starter probably doesn't have anything to do with it, but you can't completely rule it out. It's the last thing I'd consider though. sometimes as starters go bad, they act up moreso when hot. but I'd leave that possibility 'till last.
If you've already replaced a stator - there's a good possibility that the conditions that led to it going out in the first place still exist, and may have helped this one going bad as well. that's one possibility. or it may have just taken a shit 'cuz it's a POS.
you say you have a new battery - that could also be a problem, or part of it. if they filled & prepped it at the dealership, more than likely, they did it wrong. alot of times they just fill it up, immediately cap it off, and never even bother to charge it. that's the absolute worst way to begin a batteries life. when I buy my batteries - I refuse to let them prep them. If they insist, I tell them to fill it up and leave the cap off... then I bring it home, let it gas properly, then seal it up and tricke-charge it before use.
the only thing you can do is start testing the system to isolate the problem... don't just start replacing shit. If you have a service manual it will lead you through all the tests... start by measuring charging voltage across the battery while running at 5K... if it's not good, continue with the tests from there (but start testing the stator before the regulator, because if a component has gone bad, 99 times out of 100, it will be the stator on these bikes). don't rely on just the resistance test. the ac voltage output test tells you much more.
If you have aced another stator, do this before you install it... carefully clip all those zip ties & remove them. I went through 3 or 4 stators in the course of 2 years - went through my entire electrical system over and over and over, I was going absolutely mad. On my last stator, I removed the zip-ties, and low & behold... no more problems.
I could type forever - but get a service manual, a good multimeter, & you'll be good to go.