Time for an update...
I hosted a post-Christmas pot-luck for members of my cruiser club (Olde North State Cruisers) and we took the LV out for a couple trips around my neighborhood.

It was running really rich (black sooty exhaust) and the brakes showed signs of having air in the lines but it was still a crowd pleaser.
Thanks to
@lk930 for selling me his heater box with heater core. I haven't installed it yet as I have much better access to all the wiring behind the dash with it out and I still need to address some electrical gremlins.
Thanks to
@roadstr6 (Dave) for his help on Friday night. Dave dialed in the rear drum brakes and, after driving it around the neighborhood testing them out, we bled the brakes yet again. It seems the 4th time is the charm as we got some bubbles out and the pedal doesn't go quite to the floor.
Using some guidance found in the tech forum and a test light, Dave and I tested the oil pressure sender but unfortunately couldn't diagnose the problem. Thankfully, my fuel gauge appears to be working well (now that I've added ~5 gallons of fuel) but the temperature gauge surprised me this weekend, going past C after it warmed up (I read that a quirk of these older LC's is that the needle goes from past H towards C when it warms up). While the rear heater fan had worked over a month ago, it no longer does. Oh well, those are all projects for another weekend.
Despite having had it sitting around for months, I only recently noticed that the hinge bolts had snapped off and fused in the donor tailgate. I plan to have this rusty area addressed in the coming months but Dave and I managed to drill out and tap five of the six bolt holes. Thankfully, four of them lined up closely enough with the holes in the hinges and, with some help from my wife, I was able to temporarily mount the tailgate on Sunday afternoon. While I don't care for the color, it is an improvement. See pics below and form your own opinion.
I managed to adjust the carb so it isn't running as rich at idle and took my oldest daughter out for a spin.

I think the LV is growing on her as she actually waved at her friends as we drove by them. JP has the period correct carb I got from Voodoocruisers and the rebuild kit from Cruiser Corps. Plans are for him to rebuild it in the coming weeks in hopes of installing it along with a distributor vacuum line from Forrest5000 sometime in February. Once installed, we'll check and adjust the valves and perform a compression test.
I still hope to have her ready for the Olde North State Cruiser Meet and Greet in March. I guess it is about time for me to track down a vintage license plate.