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Lots of things could be wrong. Carbs are the big problem. You might go on the AVA with this problem for more poss answers. Also call, email "ekap, chris near KC or lusind?" on the AVA for their help. All 3 are pretty good, ekap(Eugene)is very good. Carl Leo is the best for rebuilds. I don't know anyone in this area that can do the rebuild and turn around time is about 7-10 days from the time you them off. If you have storage buildings in your town, they work well for garages.
If the carbs were properly rebuilt, they should not be leaking. It's possible that some parts that are not included in a standard rebuild kit also need to be replaced or there is some sort of physical defect in the carbs. If I recall correctly, you had a problem with a leaky carb after a rebuild a few years ago.
I agree with DeepSea regarding getting some advice from some of the AVA people. If the leak has stopped, it might be a good idea to take it for a ride o recheck fuel consumption.You need to determine whether it's really using a lot of fuel or if it's leaking out. How does it run otherwise? does it act like it's running rich? Check the air filter and make the choke isn't stuck in the on position. Most motorcycle chokes don't restrict anything, they add additional fuel to the mixture. I agree with DeepSea that turn-around time on a carb rebuild is likely to be 7-10 days or more.
I know a guy in Blanco that I'm sure could do the work but you'd have to leave it with him for a couple of weeks.
Possibility might be a vacuum leak where the carb boots attach to engine cylinders. Best way to check for leaks is to spray WD40 on the boots and if the engine revs up, you have a leak. If you do, tighten the clamps on the boots. Just an idea.
Dave is correct. When installing carbs on a XII, you have to may sure all the boots are correctly sealed and springs are attached or it will run poorly.
Thanks for the advice. I'll check this out as soon as it's warm enough to go outside without arctic gear on I am considering giving the local dealer a try, I know some people there, and have bought a couple of bikes from them. I talked to the service manager the other day, and he is willing to work on the 'lady'. All I need to do now is come up with the money. Again, thanks for your help. I will post updates when I have more info.
Ride Safe & Sane;
Hank, Lil'Putt, & 'the Grey Lady'.
Hopin' to see you all in the Spring!!