I get better weed control by waiting three to four days after seeding. I try as much as possible to let the combine do all the residue management. They pick through and spread any clumps of straw. Cattle also do a good job of cleaning up the grass on the headlands. The only time I have any problems is on fields where I have had lodged crops.
Heavy harrows are ideal to clean up lodged crops.
The problem I have is that I don't have access to a set of heavy harrows and I really don't have the horsepower to pull them. I bought a set of tines that mount on the shank of the cultivator. The tines were originally designed to help level furrows and seal up the field when using anhydrous. The tines will not break up stubble like a heavy harrow, but I find that it spreads the straw enough that I can get through it with the drills. At first I took all the shovels off, but put them back on when I wanted to spread some manure.