> So if I get an invalid value calculating the ADCS value using
> the minimum Tad time, should I just keep raising the Tad time
> until I get a valid answer?

Can you be sure that there is not something else affecting the accuracy? I 
haven't checked the datasheet, but IIRC these devices require a pretty low 
source impedance for the analog signal, something like <2.5k. If you are not 
meeting this criteria, and whatever other criteria may be given for the 
analog signal, then it doesn't matter how long you make the Tad, you will 
not get the right answer. 

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