Well, even with a dousing sock you still disconnect the sheets. I would never store my sheets in the bag with the sail... any sail for that matter. (maybe a small boat is ok) For an asym I would use a normal snap shackle for the tack line (an adjustable tackline is highly recommended)
For the sheets, you can go with snap hooks if you want one handed operation and don't want to spend a fortune on snap shackles. Here's what I have on the regular set.
On the light air sheets I have some of these plastic "nab shackles" .
They're pretty cool, very light weight, one handed operation also. However, I found were
too thick to put both in the asymetrical. So on that sail I rigged a 2 foot extension line to the clew and clip the sheets to a bowline in the other end... works really well.
Final comment here. Using some type of clip or shackle on your spinnaker sheets is universally common practice. First of all. Most sailors will rig the sheets before going out. Clip them to the lifeline at a convenient location on the foredeck.... hanging outside the lifelines out of the way. The sail stays in its turtle or sleeve down below until you need it. Permanently attaching your sheets to your spinnaker is just not practical... and totally uncool. Secondly, since the sail is always gybed.. you never have the flailing issues you would have with the upwind sails.... think about it. With asymmetrical and symmetrical sails they never luff or flap..... because they always have wind in them...theoretically. Also, the sheets never cross over the foredeck...like an upwind sail does.. because the sail and the sheet ends float outside the rigging. So definitely put some kind of quick release device on your spinnaker sheets..... do not cowhitch your spin sheets to your asymmetrical and store them in the sock.... NOT GOOD.