As SD said, if you do not have any serious weed issues, you could forgo the spraying. In that case, wait until the rye matures(if you want a combo rye/whatever plot) and produces seed heads, then I would broadcast your seed of choice, mow the rye down and then cultipack after mowing. It seems like a lot of steps, but going over it with the mower and then the roller gives you the best chance of getting the seed through the "thatch layer" that SD was referring to. This method is very similar to what we did most years on our plots. If you have weed issues and feel the need to spray, it gets a little trickier trying to let the rye reseed itself. If you need to spray, you could spray it before the rye matures(or leave it mature and then spray to see if you get any volunteer rye, it may work just fine but I have never personally tried this method), broadcast into the standing rye, and mow/cultipack as before. If you have only had rye in this plot for one year prior to this, I don't see the "thatch layer" as being a real big issue, if you have 2 or 3 years of plant residue laying on the soil, then that is a very different story. If you are going to do beans and you want them to produce pods, you will not be able to let the rye mature, as that will be too late to get the beans in and have them produce pods. The beans should go in sometime in the next 2 to 3 weeks if you want pods this fall, rye will likely not produce mature seed heads until sometime between mid June or early July, much too late for bean pod production. Brassicas will be fine to plant after the rye matures, no issues there.
Or you could do as NoFo suggests and not worry about the free rye seed, because it generally is one of the cheaper seeds, and just terminate the rye through spraying or mowing and then plant your fall plots accordingly.