Sorry, the IRS requires that the organization list a "responsible person." There's a form you use to identify yourself as the new responsible party for the organization.
https://www.irs.gov/pub/irs-pdf/f8822b.pdf
https://www.irs.gov/businesses/small-businesses-self-employed/responsible-parties-and-nominees
I'm not even sure if the Turbotax Business version can file form 990, I think it might not. When I was a church treasurer, I filed the 941, W-2 and W-3 by myself online, and I used Quickbooks to track the church finances. Churches don't file form 990 so I don't have any experience there.
