Advice on the can will be do not apply within X hours of cultivating which is basically what you are doing. My guess is 48 hours will be ample.
I’ve been drilling into some fairly big covers and been doing it after with the pre em. Worried if I did it before then the weather changed we could end up with a sloppy mess
definitely after for beans - there is a big window between drilling and emergence usually
Be careful with Kyle, it needs to be applied 2weeks before drilling a cereal, longer for some other crops