The general rules to choose a monitor for comfortable and reliable retouching are true for Elements. That includes:
- comfortable size for viewing not too close (22" - 27")
- angle of view, color range, non glossy screen. Thats where you should forget common TN displays and rather look at IPS or PVA ones.
- Nearly all display are delivered with too much brightness for retouching work. The factory state calibration is rarely ok, so you'll have to use an hardware calibration device.
My specific advice for Elements and the Organizer is to use a standard resolution monitor: HD: 1920 x 1080 or 1920 x1200 pixels. Don't waste your money on HiDpi displays which don't give you any advantage for retouching and which create problems to scale the menu interface (the solutions are different from the organizer and the editor).
A good 22" - 24" PVA or IPS display and an affordable hardware calibration tool (I have Spyder Expres) with 1920 x 1200 resolution is my own choice.