No problem letting the water trickle with a CSV.  If this is something that you need to do often, you might want to add an additional pressure tank to the 4.5 gallon size tank that is most common with a CSV.  But you don't want a very large tank or the well head may freeze before the pump comes back on.  I would say to use no larger tank than about a 20 gallon size that holds 5 gallons of water.