I don't see anything obvious, but to be honest I did not spend an inordinate amount of time reviewing your ADA4350 TIA design feeding into the ADC :-).
I also wanted to point out a TIA device Preliminary datasheet for LTC6563 with ADC driver…
You may want to check out LTC6563. It can meet your need to handle 500uA photo current but it does not have built-in ADC.
We do offer other ASIC with built-in TIA and ADC, such as the ADPD4100, however, ADPD4100 can only handle up to 50…
For your TIA needs: LTC6563 (quad) is a TIA with integrated ADC driver built-in. A single version of this device is also in the works.
Let me know if you have any questions.
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