I had an almost identical problem to this about a year ago. I ended up doing a finite element analysis of the lifting situation. Particular points.
(1) You will need to model any pre-camber in vertical, and perhaps horizontal, directions.
(2) You will also need to allow for imperfect shape (in vertical and horizontal directions).
(3) You will need to model the actual lifting points in their correct locations, perhaps again allowing for some construction imperfections).
(4) Obviously, you have to include the lifting cables in your model.
(5) Your analysis will have to allow for geometric nonlinearity, since that is its point.
(6) You will have get your indication of the safety margin by factoring up your self weight until the analysis predicts the beam will buckle.
(7) You then need to convince yourself and others of the adequacy (or inadequacy) of that safety margin.
In my case, the software I was using was unable to solve the problem statically because of the close-to free-body movements involved in the analysis. So I had to solve it as a dynamic problem in the time domain, applying the load gradually then running the analysis until the resulting movements had died out. Since I was interested only in the final (steady) deflection, I used an exceptionally high damping in my model so that the steady-state condition would be reached quicker. But hopefully your software will be able to solve the problem statically.