Closet flange too high
I think it would be easier to open the floor in the bathroom - if it comes to that.
You tiled, right? You'd have to be careful about your cuts and replacement, but you can repair that seemlessly - but repairing a ceiling is a bit more challenging.
I think raising the toilet surround isn't a bad idea, actually - you could trim it with small mosaic tiles, no one would be the wiser.
At this present moment in time I am making cabinets for the kitchen - just in case you wanted to know what I'm doing when I'm not around.