If it's straw and not hay there should not be much seed in it if at all.
Straw is like 8 bucks for half a bale here. I don't use straw.
Yes its straw and your right. Last winter I put 50 lbs of winter wheat on it after tilling and that's 12 lbs per 1000 sq ft. Didn't have a problem then either. Wheats a good problem.