Hey! Thanks for the update and it is very puzzling what you're experiencing. We sadistically love a problem and this is a real (dare I say) puzzler!
Some things come to mind that are similar to my own experience, albeit on a different model bike ('68 450) and with the idea that a generic (i.e. cheapy amazon carbs) may not be jetted properly. My experience is if the jetting is on the edge of rich/too much fuel, the spark plugs simply die a slow death from soot fouling the electrodes...
Same for the original Mikuni installation.
To answer your question on kits,
@LongDistanceRider is our resident expert/VHT Mod on those carbys. However, the kit jet(s) calibration may be suspect so most folks here save the original brass if possible, and use those. That doesn't help you, sorry. But yes, the rebuild kits will contain new jets/brass.
My fear is you're chasing an electrical problem through the carburetors. That is, if the passages are clear with the proper calibration, they work. But, you've introduced some (absolutely necessary) variables so sorting it out may be a bit more involved. Let's start with you've not been able to make any of the carby options work to me, points to a non-carby issue.
If the bike has been sitting, perhaps the petcock may be occluded down to only provide a trickle fuel supply? This could fit a longer ride where shorter rides may not be affected.
-at first startup, is the enrichener/choke needed for it to fire and continue to run?
-from there, how soon is the enrichener turned off/disengaged from startup?
-at riding, are there any backfires through the carburetor? Pops through the muffler? When does that happen (assuming it does)?
-when the bike dies, can you take and post a pic of what the spark plug insulators look like?
-when the bike dies, what is the bike doing? does the power just decay to nothing or is it abrupt?
Just so you know, too much information is perfect - especially with this bunch! And, feel free to PM any/all as needed.