+1 North
Once you remove the angel, you still might find the damsels going after cardinals or chromis - I'd look to replace the damsels as well and then come up with a list of potential list and rank them in order from most peaceful to most aggressive. If you add the most aggressive fish last you are more likely to have success with everyone getting along.
A few other things - chromis are fun fish but are also known as highlander fish, meaning they will often bully each other until only 1 is left. People have had more success adding chromis if they add in a group of 3 or 5 (I'd recommend 3 for your tank), and I'm not sure how things are going to go adding more chromis to a tank wtih an already established chromis. The already established one might just pick off the new ones (I'd love to add more chromis to my tank but haven't for this very reason).
Even though the regal tank will need a larger home, there are some great smaller tangs that would do just fine in a 75g, and a dwarf angel would do fine as well. You really do have a lot of options for fish in a 75g and can create a really fun mix of fish for your center! A little planning can go a long way :)