Well, I did some more measuring and the con rods are pretty tight but have a slight bit of movement that seems within the specs in the book for side clearance. They feel the same as when I put the 2.4T together for the Neon, so I'm not sure if that's a good thing or a bad thing...
Early this morning, I went ahead and got the oil pan back on. I'm not doing the pump/pickup primarily because I know this is a one-cheek job and I'm trying to not throw good money after bad for what is realistically a temporary fix. I inadvertently put 5-20 instead of 5-30 in it, but I plan to drain out some oil to see what it looks like anyway, so I'll pull out a quart and add some 10-40 to thicken things up a bit.
On initial start-up, it made pressure pretty fast, but was still knocking. It seemed like the same noise, but this time the block was basically silent while the head was banging away. (heh heh). Before tearing anything apart, I was all over the motor with the stethoscope and right around #3 and #4 on the block was just banging away like Maxwell and his silver hammer. This time, however, just the basic whirr of a rotating assembly down there with the noise only really audible when I probed the head and valve cover.
I ran it for about 30 seconds and shut it off. I let it sit and started it up again and let it run for about 2-3 minutes. The noise seemed to fade, but the bottom remained quiet. I did another 4 or 5 iterations of letting it sit and then running it for 30-60 seconds, but the temps really never got to the point that touching any part of the engine with a bare hand was even slightly uncomfortable.
Weird thing: Third to last time I did it, there was no knocking except for a slight little rasp when I released the throttle after revving it up. The last two times, however, it was actually quiet. Well, by that I mean it sounded like every other "normal" Dodge 2.4 that I've heard. No weird sounds at all and good oil pressure all the way around.
It might last for 5 miles, it might last for 5 years, but I think I'm going to go ahead and finish bolting the motor back on to the frame, put a non-leaking oil pressure sender in it, drain/fill a quart of oil and inspect it, and then send her back into the wild.