Was the DAP vertical or horizontal position?
Can you take a pic of the chip that you think is the issue? Even with the heat sink on it.
I'm wondering if maybe the heat sink and also air flow isn't enough and maybe some forced induction air is needed. The case is based off the DIR-655/DGL-4500 and there isn't many air vents top and bottom to handle the heat dissipation IMO. So even though you put a different sink on it, air flow is important.
Pestering D-Link with this issue and seeing that the new DIR-880L, they said that the new router shouldn't have the heat issues as seen with the 857/827 routers since it's using the same case, how the case is bigger and the bottom is perforated more and they used all metal sinks in it.
As for a follow on to the 1533, i don't know. I presume IMO that there won't be since new DAPs are out in the wild. However thats me. I wish they would or could do something for the 1533, it's not a bad AP besides this heat issue.
If I hear something back from D-Link I'll let you know. I trust that you've done all testing and that the DAP is just toast. I would recommend that you phone contact them anyways, you might get another or ask for the DAP-1650 or something comparable. If you get another 1533, do the mod and this time, out a laptop fan cooler under it in horizontal position.