Indeed, basket chasing will usually end up in overcontrolling and unpleasantness. To precis the whole probe and drogue procedure, the join will be to echelon, avoiding any wake turbulence, then a downward movement before moving astern the cleared hose, a forward move up the line of the hose to a hold about 8-10 feet behind the droque, trim and relax and then move forward up the line using the appropriate references at 3-5kts. Departure is the reverse. There is of course much more to it than that but you will need to do the conversion for that. High tail aircraft can get some pitch effect if a bit above the line, tall fin aircraft can be prone to dutch roll.