Yeah, cut and bale will make next year alot easier for you. The matting of the bushhogged stuff will not rot down into the soil fast enough, and it will be a pain to cut and have all that clogging up the mower. It doesn't cause as much problems for the discbine, but you do have to drop to a slower gear but keeping the rpm's up.
We got a tedder a couple years ago when we weren't getting anything made due to the constant showers. But still, many times I will just rake a second time, catching the row just enough to get it to flip over so the "bottom" is up and the hay is over enough to get it on "dry" ground. It will get it to fluff a bit and air will go through it to help dry it.
Any weeds, goldenrod, whatever, will add organic matter back into the soil where you feed and you can kill the new growth. It is probably going to cause some new growth next year but with your own equipment, if you keep it cut before it gets mature, it will weaken it to some extent. There has been several books over the years talking about weeds and their preferences, and low calcium in the soil is often one of them t