Rye doesn't like cold and that's the reason it might be taking longer then usual for it to sprout. And if you haven't gotten anything comming up, you can still put some straw down.
A few months ago, I prepped an area to seed. But because I didn't have any straw, I didn't seed. It worked out well because a week later, we got a nasty down pour and half my dirt washed away. After I was able to get some straw, I reprepped the area and seeded.
The seed I used was a Tall fescue/Kentucky Blue grass mix. I watered it for an hour in the morning and an hour around 6pm with a sprinker. And with that, it only took about 8 days to sprout. Now the grass there is growing like crazy! I did get some barley coming up from the straw, but it's not a problem because it's not an annual and it'll never get big enough to seed. Next year, that section of my yard will look great!!
So with that said, I suggest you get some straw down, if at all possible. It's a PITA to put it out by hand, but the straw will help the seed stay moist and keep rain from washing everything out.
Good luck with your yard!!