Cheaper to just go straight into 623AA after 5B.
You can do this combo off of 5D too.
5A (Crouching) > 6A > etc. (Hakumen, Tager, Bang, and Relius(only sometimes))
5A (AA) > 5C > 623A > 2C > j.B > j.2A > etc.
6A (Ground CH) > falling j.2C > etc.
2A (CH) > 6A (Hard to confirm though)
2C (AA CH) > falling j.2C > 5C > 623A > 2C > j.B > j.2A > etc. (Does around 3.8k)
You can do 2D > 66 > 2C > j.B > j.2A > AD > j.2A > j.C (2003 I think) which is easier and a little more corner push.
(On some characters you have to do 623A > 623A instead of 623A > 66)
BC (Midscreen) > 623A > 66 > 236B(1) > 623A > 2C > j.B > j.2A > AD > j.B > j.A > 2C > j.2A > AD > j.2A > j.C.
BC (Midscreen/near corner) > 623A > 66 > 236B(1) > 623A > 2C > j.B > j.2A > j.2C > 6A > 5C > 2C > j.B > j.2A > AD > j.2A > j.C > 5C > 3C.