I'm using the web version. I've figured it out myself! I went back to the state form and found the section about taxes and other credits. Under that I found there was a place to say you wanted the refund used for next year's estimated taxes. Previously I had found that for the federal form by asking a question then getting a link to the appropriate place. Unfortunately, when I asked the question for the state I didn't get an answer with a similar link. In any case, the closing dialogue on both fed and state should include the ability to apply the refund to next year's estimated since that is the "logical" place to deal with that question. For the state I got a screen that asked if I wanted TurboTax to handle the refund or is I wanted it sent to my bank via direct deposit. There was also another a place where it said to see other options. But when I opened the "other" options it just had the ability to request a paper check! Daaaa, applying the refund is "another" option and that is where it should appear! That appearance can be in addition to where they have it now.
