If I want to add details to a patent submitted to the uspto in order to add detail to overcome fears of the need for undue experimentation, will a flow up with a continuation in part mitigate the risk of need for undue experimentation?
Yes - Whether a CIP or a straight continuation, you can add the new material BUT in both cases you effectively loose the original priority date. A way to have your cake and eat it too would be to pursue both applications. In that case would file the CIP after the allowance on the parent - but before the grant date. Examiners do not usually reject for lack of enablement.
With different claim wording you might be able to get both granted with a terminal disclaimer. I'm a patent agent, but not an attorney but an attorney might think you would then have one with better enablement and one with a better priority date. Issues of patent enforcement are outside my expertise.