strip the weapon, after a day the risk of a hang fire is pretty much zilch. get a aluminum or brass rod small enough to fit in the barrel, but thick enough not to slip on either side of the point of the bullet. Most hard ware stores have something like this in the hobby section.
Get some good penetrating oil and squirt some down the bore, leave the bore tilted up so the oil reaches the chamber and soaks it in.
Take the brass rod and >>>THIS IS IMPORTANT<<< while keeping the barrel aimed in a safe direction, preferably outside, lift and drop the brass rod a few times onto the stuck case. Keep your hands in such a manner that IF the round went off, your hands are out of the way. Prop the barrel so that as you are tapping the round it has room to loosen up and fall out. or at least move.
I have had good luck doing it this way, the weight of the rod is usually enough to drive it out. It may take a few dozen taps but it should move it. IF it does not, add some more oil, wait a day and try it again then. Rushing is not in your best interest at this time. If you feel the weight of the rod is not enough use a block of wood to tap on the rod.
Once you get the round out, look at it, try to figure out why it froze in the barrel, usually its because the chamber is corroded or an out of spec round.