Bigger engines won't help overcome lower air density.
First, bigger engines mean more weight, which will mean more power required to lift the base weight of the aircraft. Second, the problem isn't (ironically enough) pushing the blades through the air, it's the limit of each blade's ability to generate lift. Third, they can't just spin the blades faster, since they're approaching the speed of sound at the tips as it is. Breaking that speed causes a whole new set of issues to design around.
It's a balancing act, and the weight/lift/capacity/payload balance has already been struck in many cases. Will we see new designs? Perhaps, as they become economical due to climate change.
https://journals.ametsoc.org/view/journals/wcas/13/1/WCAS-D-... <- From someone with more smarts than me.