A manned picket is a wealth of plot complications.
Better take a week to ten days to get out to a useful range, but I get your point. The Apollo missions were indeed a cramped couple of weeks, and it was probably a bit tense at times. Choose your crew wisely.
At that point "your mileage may vary" based on rules used. The rules I use allow missile-form sensor platforms, which are cheaper, smaller, and more disposable than manned vehicles. That said, manned pickets are great plot devices.