I won't repeat what has already been recommended above, especially since I agree with them. But another point to add: check with your build codes department. Your local building code may prevent the "general use" of screws.
When folks talk about using screws for construction, they are normally considering the use of drywall screws, or at best "gold-coat deck screws" rather than true wood screws due to cost. Drywall screws, being of a significantly thinner cross section, as well as the type of style from which they are manufactured, have nary the shear strength of framing nails.
For this reason, they will often not meet the fastener requirements required by your local code. This is the argument in many jurisdictions between clip-head nails and full-head nails in pneumatic framing nail guns.
They simply will not withstand they wind shear forces and you will have potential if not catastrophic problems over time. Best of luck.
Cheers!