DON”T get a grinder anywhere near them! the sparks get very hot and could embed themselves in the lower tiles or the bathroom fittings, I’ve seen it happen.
I’m presuming it’s a concealed shower valve? in which case, yes, I think you’re on the right lines with trying to drill the spare away, get a good tile drill though. I use Black and Decker Pirhana ones, they’re very good. Don’t drill all the way through at 1st, you need lots of holes close together for this to be a success and the tile drills are tapered, so I’d drill in about 5mm, then stop and start another hole near to the last, once you’ve been all the way round you can finish drilling them through. you can them tidy up the edge with a round file, I have a carbarundum one made for tiles but most should work.
Take your time though as it’s not easy, I hope for your sake that the tiles aren’t porcelain! if so you’re in for a long day.
You say that you had the room tiled? speaking as a tiler, is ringing up the guy that did it not an option to ask if he’ll sort it out if it’s a mistake, I know I would if i’d done it. just a thought.