Well, it seems that MonSpecsMUI already does that, it allows changing very many monitor driver settings. I just don't know what most of them mean or do. Perhaps there is documentation for this, but I suspect there isn't.
With the changes I made to Euro36 I get 960x540@30, which is half of 1920x1080x60 for each of the three variables, I think we get a very good result considering the limitations of the Amiga and the fact that the Amiga predates the start of the shrinking pixels where ultimately individual pixels would become invisible to tell apart. (I.e., "retina" displays.)
For this mode, I'm using very close to the minimum number of scanlines that still works and I reduced the number of pixels per line (in the form of TOTCLK) a bit to hit 30 Hz. This actually leaves something like 20% of the available scanline pixels unused. I also think it should be possible to reduce the horizontal sync and blanking, but clicking around in MonSpecsMUI didn't give me any results.
However, in my opinion, it's not a great idea to go for the maximum number of pixels the Amiga can show by shortening all the sync and blanking periods, because that way, screen output uses up much more chip memory bandwidth so less is left for the blitter and the CPU so redrawing all those pixels will become extremely slow, especially in 32 - 128 color modes and double especially in 256 colors.
Now if only somehow the mouse pointer could be made to look nice and move smoothly. I guess if you guys are taking feature requests that could be done with a sprite on the Indivision hardware at the full HDMI/VGA resolution overlaid on the Amiga image and making the Amiga mouse pointer sprite invisible.