I'm not amazing, but maybe I can help. I'm a solo Fortune, so point is all I know :D
Some basics on establishing offensive control (not in order of importance):
1. Fiber Upper. On whiff, you can still do her followup. Try to use this occasionally to shorten the gap.
2. IAD j.HP (with her head on of course). One of, if not, her best aerials. It's not quite Filia levels of good, so try not to go too ham with it. It's still really good so keep that in mind.
3. With her head off, try doing IAD j.LK, j.MK. It only works with her head off in MDE, but it's still a beautiful tool. Just remember to hit HP while your j.MK is ending so you can combo from it easier.
4. Poke with s.MP, s.MK, and s.HP. These are great tools that you can usually hit-confirm fairly easy off of into rekkas.
5. Remember that she has amazing air movement. You have a super jump with an airdash AND a double jump. You also have two air specials that alter movement and a air normal that does too. Pretty awesome. Use these to mixup how you approach.
6. If your head isn't attached, use it. f/b.HP is a great long-range tool while you're approaching from the air.
7. For air-to-airs, I really like j.MP and j.HK. j.MP is really fast and j.HK covers a huge area in front of you.
These are just a few things to get you started. Of course, if you have an assist, you can get really creative with your approach. The main things is mixing up your air movement and using her head when you can. Don't be afraid to throw out a OmNomNomNom ;)
