Quick fix is to let the car cool down if it is warm. Back out the bolt with the drain pan in place BUT DON'T FULLY REMOVE IT - just get it to the point where it starts to wiggle like there's only a few threads left. Get yourself positioned so you can stick a finger in the oil pan hole while you pull out the plug and put the washer on it. When ready, slip out your finger and stick the plug back in (with the washer this time
) and tighten it down.
You're going to get a little dirty, but if you're fast you'll lose little oil and will save yourself a boatload of work.