The OP is in Michigan. I submit that heat is one thing that ought to be on the generator.
He didn't mention general heat, so I assumed it wasn't an issue and this was just comfort heat for the bathroom.
"I've fallen, and I can't get up... and the floor is freezing cold!"
Always two ways to skin it if you're facing a gen overload- reduce load from the generator panel, or increase the size of the genny. I'd just bump the genset up another 50kVA and call it a day, but I'm not paying the bill. A lot of that money would likely be recouped in cost avoidance of special cable runs.