Hi Brian
I haven’t checked off item by item on your wish list so this saw may not fulfill what you want. As a 30+ year contractor, I would say 95% of the people I have worked with have used and considered the Skil worm drive circular saws a standard in the industry . I’ve owned other work drives, like Bosch and Dewalt (also work drive) and they are good saws but are not as balanced as the Skil worm drive. I think you might be surprised at what a decent saw costs I would say all of the good saws are over your budget. Not sure this is much help perhaps others will have good suggestions for you.
https://www.acmetools.com/shop/tools/skilsaw-spt77w-01-worm-drive-saw-7-1-4-inch
woodworking classes, custom furniture maker