EF F1040 and EF F114 are two different EF functions in Lacerte.

I never have a F114 client who paper filed, but would the following work?

Prepare F114, get the F114a signed, check the Federal Box when you efile 114.  Then uncheck it.

I never thought about this, but I can't think of any difference on the generated tax forms whether you check or uncheck the federal box, except some "filing administration" things, such as the diagnostics for you to fill out the efile opt-out.  The tax forms and the computation shouldn't be affected.