Slow but almost there. Tested functioning,again with another couple of dozen rounds, video to follow once I get it edited.
Bit the bullet (boo, hiss, poor pun) and bought a Streamlight TLR-4 light/laser combo. I have a TLR-2, light only on my shotgun. Paid a bit more, $140, than I could have gotten it at Cabela's but it was instant gratification and 30 miles less driving. I like Streamlight products. I don't like remote feely-touchy switches, so this is perfect for me. Lasers take practice. If they're not on target, if you can't see them on target, you tend to waste time trying to spot the dot. And for a close quarters situation, you need to be firing, not trying to find the red dot.
Here's the target at 15 yards.

Fun, fun.
Have ordered a high viability, fiber optic sight, meant for shotguns, but I think I can adapt it to a picatinny rail. Only $25, so we'll see. Worst case is I put it on my shotgun.
BUT THE WHOLE PURPOSE of this project was for home defense. So I moved in that direction today, by mounting it inside my clothes closet. Up out of the way, but convenient. Not obvious to anyone perusing the room, even just glancing in my closet.
It's hung with one of the hangers a local entrepreneur is selling. Works well in this case.

Here's the link for the hanger. Called Vertical Gun Rack, it works quite well horizontally:
http://www.verticalgunracks.com/index.html