Your signal and measurement requirements are a very good fit for this converter. Your minimum required resolution is 1/10th that of the converter, your max input voltage is less than the converter's max, and you are using almost 50% of the converter's range. To start, all you need is a failly accurate voltage follower to drive the converter with a consistant low impedance. If you find later that you would benefit from more conversion range, then we get into DC offset and gain.
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