I wanted to update this thread with the results of everyone's suggestions.
I picked up a MAP gas torch and heated around the six studs. The additional heat did help a little and pulled in some of the penetrating fluid. A hairline, and I mean hairline, gap finally formed between the outdrive and pivot housing. In the end, it took one of my friends and I using Snap On Pry Bars and a couple of beefy screwdrivers working around the hairline joint between the outdrive and the pivot housing. We applied pressure with the trim rams and wedging a block between the bottom of the gimbal housing and the outdrive. The flat blade screwdrivers were used to create a small gap that was big enough to get the pry bars in the gap. Once a gap formed, we worked the pry bars around the entire gap. Over two hours of working around the gap, the space was big enough to change over to bigger pry bars. The bigger bars allowed us to get the leverage to pull the outdrive all the way off. We used an engine hoist to support the outdrive during this process.
What we found was the penetrating fluid had not worked past the first three to five threads on the studs. Corrosion was thick around all of the studs and around the carrier bearing housing. Otherwise, everything was clear. It really did not make any sense as to why it was so difficult. Clearly it was though. A word to the wise, be extremely careful with where you pry. The metal on the top of the pivot housing is soft and will chip easily.
I was relieved to find that the bellows were in good shape and had not allowed water intrusion. That meant my water in lower unit oil problem was isolated to the shift solenoid seal. I was lucky and both props slid off without much problem. I drained the existing lower unit fluid and ran an extra quart through it as a cleanse. Then I rebuilt the shift solenoid, replaced the bellows, lower unit fluid, necessary seals, etc. I cleaned up the stud holes and the studs, pivot housing, carrier bearing housing, etc. with a wire wheel. I then liberally applied Quicksilver 101 Special Lubricant on every possible contact point.
After I put the outdrive on, one of the studs was found to have a boogered thread. That lead to having to pull off the outdrive again. What a difference the 101 made. My friend and I removed the new nuts on the studs and the outdrive literally slid out off the pivot housing. I ran a hex die around the affected stud and put the outdrive back on. New nuts finished off the installation.
All in all, it was not a bad project when you remove the whole part of separating the outdrive from the pivot housing. From here on out, I will pull the outdrive at the end of each season. Never again will I put myself in a position to deal with that mess again.