Specialized Phenom seat for TT
Aside from getting a TT specific bike, 

1) Get a new seatpost which allows for more saddle adjustment

2) Get a new saddle

are probably your options best options. I don't think the padding will help. When you added aero bars, you changed the riding geometry, and pretty much aside from swapping out stems/bars and tweaking heights there, your only other option is a new saddle and/or seatpost. 

I don't think the padding is a good idea, given that you shouldn't be sitting on that part of the saddle anyway.