I highly recommend doing the job in an indoor setting. Getting the timing case back on is a real pain in the ass!
I recommend picking up some 0.005" brass shim stock. Try to get it in a length that is a little larger than the top of the timing case, and 3" or more wide.
I recommend using some Ultra Black silicone RTV in the channel on the top of the timing case and then pressing the profile gasket into it. Wipe off the excess. Spread a small amount of silicone assembly grease on the top of the gasket, and on the under-side of the head where the gasket mates. Don't forget about the big gasket that goes behind the case. There are locating sleeves in the block, so I sprayed both sides of this gasket lightly with gasket sealer, let them dry, and placed them onto the block.
Get the oil pump aligned with the crank, put the brass shim stock on top of the gasket and put the top partially under the head. You can then CAREFULLY use a jack to push up on the timing case to compress the profile gasket. I found that using a large wood clamp (across block & case) to pull the case bottom toward & onto the crank helped. Don't force it though, you need to get the oil pump into alignment first.
Then use the bolts to do the rest. The profile gasket will probably squeeze out at its ends a little. I trimmed these off & used big dabs of RTV to make sure it all sealed. Run your finger inside the hole by the thermostat housing and make sure that the gasket is nice & even around the perimeter...you don't want this blowing out.
As for the brass shim stock that it now stuck between the head & gasket, you are going to need to pull it out with some vise-grips. I pulled the kidney grills out to pull straight onto it. Work it from the sides & middle a little at a time. I was stupid and "lubricated" this part with more RTV, and it made things very very difficult. Eventually, I yanked the shim stock out. Silicone assembly grease should make this step much easier.

Alternatively, you can remove the cylinder head & replace all the stuff associated with that. It makes the timing case installation easier, although in the end it is still a pain.