You probably won't be able to tell if the schrund will be bad until May, it really depends on how the weather plays out this spring. The schrund was still pretty straight forward on June 6th this year and once it was overhanging, I read that some parties simply went around it instead of spending a bunch of time aiding up it, so keep that option in mind if it is sketchy.
Personally, I'd take the synthetic jacket and like Bug said, the avalanches would concern me most in May.
Have fun.