You can now enter payment dates up to 07/15 in TurboTax. The link below is still a good link to find out current COVID-19 tax-related information.
Right now, you can't enter payment dates past 04/15/20**. You can still change the payment method, however. We are currently working on updating the payment options/dates within TurboTax. Please check back here for future announcements.
**[Edited 04/03/20 to add updated info]
Q14. I already filed my 2019 income tax return that would have been due on April 15 and scheduled a payment of taxes for April 15, 2020. Will this payment be automatically rescheduled to July 15, 2020?
A14. No, the payment will not be automatically rescheduled to July 15. If you do nothing, the payment will be made on the date you chose. Here is information on how to cancel and reschedule your payment:
https://www.irs.gov/newsroom/filing-and-payment-deadlines-questions-and-answers