I think the best no-star 19 I've climbed at The Mount is Black Dog. The pro's good but it's reasonably solid at the grade to protect well while moving through the hard bit. The crux is interesting but not desperate for 1.8m climbers. It's probably two grades easier for tall streaks than for shorties.
Did Argyle Street a couple of months ago: easy moves but fairly runnout. Rat's Alley is runnout as well but the moves aren't that easy. People seem to love it or hate it which by itself makes it a good one to sample. I enjoyed it. And Morgul Can't is great if you don't knock the flake off.