I agree with my colleagues. Your first step should be to apply for a change of status. Best to have an experienced immigration attorney represent you to ensure it is done properly.
DHS has yet to issue any policy guidance regarding changing/extending status in relation to COVID-19 You should apply for a change of status to B-2 nonimmigrant status in the interim. So long as the extension is approved, there should be no impact on future immigration applications and petitions.
Apply for change of status to B-2 and/or try to walk in to the CBP Deferred Inspection office and request for a "Satisfactory Departure" stamp - those offices are closed to the public until further notice.