Deereman, you need to say where you are. Where I'm at we get 30" rain in a good year, and we havn't had a good year since about '99. No till into wheat stubble is normal in this area the next spring, and happens to maybe 5% of the acres right behind the combine. With $12. beans, I look for a lot more right behind the combine this summer.
Soil moisture is the controlling factor. Stubble doesn't dry fast, this can be both good and bad. I have double cropped right behind the combine with both a 1760 and a 1560. Both worked well, but I can be quite picky about getting the adjustments right. One year on sand I had trouble with the deere row cleaners wrapping with straw, so we just took them off. It worked fine without them.
If time is short, smoke tillage eliminates the straw and the field is ready to plant in a couple of days. Don't like to do it that way, but if its burn or fallow, here come the matches.