Glad to see you are having some success from the dormant seeding.
AR--annual rye--not sure--wouldn't perennial rye do just as well, germinate just as quickly, look better, and cost not much more?
Especially look for the cultivars at the seed companies that claim "quick germination", and look for varieties that have a low seeds-per-pound count--that means the seeds are large and therefore germinate quickly, (especially if pre-germinated and the soil is warm). I think Blazer IV is a favorite for fast start around here.
Let us know of your results.
A neighbor's spring seeding on a bare soil new lawn is doing OK. Maximum height is about 3 inches--but very thin so far. Its been rainy, so probably no sprinkling so far. Cold today 46. Photos later.