Well the QB Self Employed does work with Turbo Tax.  You do get a free Turbo Tax Self Employed tax return with QBSE.   I don't see why you couldn't use it for your account.  Here's about that.  

Once  the customer pays for the bundle, the customer will receive a TurboTax Service Code in his Quickbooks Self- Employed account that he will copy over into TurboTax.   The customer will need to enter his code into TurboTax when he is ready to file.

You get a service code from QBSE to enter into Turbo Tax.  How to get the QuickBooks Self Employed Serivce Code,

https://ttlc.intuit.com/questions/2930260-where-do-i-get-my-quickbooks-self-employed-turbotax-servic...