hcb+K gives fairly good advantage on block and travels very fast so that's a good way to get in. j.A and j.d+D have good hitboxes and long active frames which makes them good for approaching both air-to-air and air-to-ground. Chain f+B can go over most fireballs with the right timing (easy against ground FB but against Athena for example it's much tighter). I think mastering her BCD dodge and being able to fluidly cancel back into hcf+K strings is the key. She has a way around everything, you just need to be on point reacting and choosing the right chain move in relation to what the opponent is doing.
There are a few options for AA but none of them are particularly great. s.A, close and far s.D, u+A and b,f+B can be used along with j.A, j.B and j.d+D. There also the SDM counter but you need 3 stocks for that.