You are giving AK and AA without Ad a great reason to fold, few will make the mistake of calling your push with those hands in this situation. You are getting called by AAd KK a made flush and maybe by AdK and 22.

This is how I would play it against tight predictable opponents.
I'd lead out the flop, if it gets raised just call. If a diamond falls on the turn just check and hope to get odds to see the river. On a non diamond turn lead out again, if it gets raised or pushed you are probably beat and should only call if the raise gives you odds to fill up. From his perspective, you limped and came to life on a 3 flush board on the flop and turn. This is very scary for AA AK non diamond. A tight predictable opponent will fold or only call you on that turn, few would dare to push.