Put a jack stand under the lowest part of the transfer case. Remove the cross member but leave the transmission mount bolted to the transmission itself. Get a harbor freight transmission jack. Bleed the piston and lube all the threads etc… then mount a piece of plywood to the transmission jack and drill holes in it to accept the studs from the bottom of the transmission mount. Then the transmission will be very secure when you start moving it around. All the bolts should be very accessible this way. Good you’re thinking this through. That sucker is heavy and wants to dump itself to the passenger side when you dismount out from the bell housing. Here are a few pics to help you visualize this rig. I have been able to pull my transmission and stab it twice with little trouble.
View attachment 2815828View attachment 2815827View attachment 2815826View attachment 2815825I was able to rebuild my transfer case while the transmission was mounted to the jack. Easy to move it around. Plenty of stability to torque things. Like I said. Done it twice like this. Last time I did it alone with no issues whatsoever.
To get that tall transmission out you’ll need to remove the passenger front wheel and jack that side of the truck high in the sky. You got this!
When you go to reinstall that baby get some extra long grade 8 bolts. Cut the hex head off and use a hack saw to make slots in the end for a flathead. Chamfer the end so there are no burrs. Then temporarily install them into the top bolt holes on the bell housing. Make sure they are completely threaded into the bellhousing and are solid with no play. Use them to get the transmission aligned when you stab it. You can actually see where I have one installed in the first picture. Once you get the transmission lined up and on those home made studs you can lay in your back and push the transfer case with your feet and it should slide right into place if you get the adjusting screws on the jack leveled properly. Easy job in reality. It’s just heavy. Be careful and use your noggin.
I also suggest using a jack stand with a piece of plywood under the oil pan to prevent the engine from diving backwards after the transmission is pulled. Use the plywood so you don’t bend the oil pan. And make sure you support the transfer case with a stand when you go to mount the cross member back into place.