I would certainly include Amorgos in your trip.
Aegina is nice but very busy with ferries which almost every 10 minutes.
The main harbour is very small and at high season the boats can be moored 3 x stern to bow.
Finikas is better than Hermopolis unless you want stores or
repairs.
Loutra is attractive but arrive with
money as the ATM is the other side of the island. I would spend more time in the Agean if you want wild beauty. I sailed from Lefkas to Amorgos and it took almost 3 months but my
boat is very small 8.68mtr and we spent a lot of time in some
ports. Aegina was almost 2 weeks. I think the decision should perhaps be paced on do you want to spend more time sailing or more time site seeing If I can help let me know.