I think my 727 is fried. Now I'm at a crossroads...

Ricks70Duster340 said

If it was my situation, I would pull the valve body and go through it carefully. Check particularly for sticky valves. While it is out, install a quality shift kit. You'll be glad you did.

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Thanks. Valve bodies intimidate me a little, just due to all the tiny parts and me being ignorant as to the whats and hows of everything. He was the guy who rebuilt my clutch packs and I was quite happy with him, so I might just have him look the valve body over when I pull the transmission.

So, it's driving reliably right now, and I've got lots of shuffling to do before I can get the car back in my shop to work on it. I'll update the thread once the transmission is out and apart. Thanks to everyone for the help so far.