I'd love to use fountain pens. Unfortunately, I'm left-handed.
The best thing I can say is: try to learn to write under the line (under-hand) as opposed to hookwriting or sidewriting. Those make things pretty tough. If not, there are things you can try: Prefer extra-fine (EF) or fine (F) nibbed pens. Private Reserve and Noodler's make some fast-drying ink. This combo will often allow the ink to dry faster than your hand can get to it.
Think of a mirror-image of a regular nib.
Do left-handed pens also have faster drying ink?
Are there left-handed ballpoints? If so, is the ink the only difference?