We have been using rye after corn before soybeans for 14 years. Our main goal is erosion control. Started out drilling it. If you get it up early like before Oct 1, 25 lbs drilled is enough. Have done aerial a couple of times before corn or soybeans were harvested 55 lbs seemed to be enough with this method. The past 10 years we have broadcast most of the rye, use 60 to 80 lbs. Try to get it on right after harvest before the leave get matted down by rain. The general rule for broadcasting is it always works when done in late September or October does not matter if soil is bone dry or on top of snow. Sometimes works in November and almost never works in December. We kill the rye in late April or early May and try to plant late May or June.  

Rye grows way bigger than wheat without added fertilizer. 

I have hired aerial rye twice first time the pilot did not do a good job and some ended up off target. Other time hired someone else they did a good job, but they will not do a small job, like 200 acres. The drone guy that I talked to a couple of years ago said that 50 lbs per acre is more than he could do. Getting the rye onto the ground before the corn is harvested would result in a better stand with less seed. 

Rye is unlikely to become a weed if you do not let it go to seed. We commonly spread rye into the trees and some does not get sprayed but rarely see any the following year. The rye that we use is different than the stuff growing wild in the hedge row over in Sumner county. 

For grazing I will drill it to get as good of a stand as possible and get it started earlier. I prefer triticale over rye for grazing. Heads out later than rye and wheat and more leafy.  Triticale does grow less in the winter. Turnips are more winter hardy than radishes and some will overwinter here. Turnips are better for grazing, especially if they are planted early enough to grow a bulb end of August or early Septmeber. Cattle will eat the whole bulb. 

Rye is the easiest to kill and triticale is the hardest to kill with roundup.