for a home set-up on a budget I went Samson SR950 for monitoring (closed back) and SR850 for mixing (open back). They have good sound, a reasonably flat spectrum, 32ohm impedance, decent cord length and thickness. My only gripe is the headband is tensioned and while it has a wide spreader it is unpadded so gets a bit uncomfortable after a while. I have solved this by adding some foam wrapped in a sock cut along its length and velcroed over the band. Probably not the look she'd want infront of her peers thinking about it. Shame as otherwise they're a cracking buy. I might see if getting some bike helmet sticky pads work instead, as the band looks like it should take them well enough.
For on-stage in-ear monitoring without going to ear moulds etc if you can afford them I'd go Shure 350s.