Did you get this figured out?
on my 94 ATX, the 2 major oil leaks I had were the oil pressure switch on the drivers side, which certainly can leak like an open faucet when it gets warm, but it usually falls straight to the ground.
And the Crank Seal on the passenger side, which also leaked like crazy once warm, and directly on to the exhaust causing tons of smoke. (enough to get me a ticket for unnecessary smoke one day) Im gonna guess this is your problem. part was cheap enough.. I think I had about 250,000 on mine when this happened so I cant complain really.
took me a couple weeks to find the first leak with that pressure switch cause Id always look after the car was off and the leak would stop as soon as the engine wasnt running anymore. I never actually saw the loss of oil, most of it ended up on the highway probably, lol.. but one day I stopped at a store after the car had been running for a good 45 minutes. I left it running as I knew Id be quick inside, and when I came out, I saw the river coming from under the car. I then knew that as soon as I got home Id have to leave it running and grab the light and take a look. saw it pouring out of that damn $8 part.. the day I decided to fix it, seemed like another 2 weeks trying to get that damn thing out.