It sounds like your charging system is working with 14 volts at 3k. If your tests are saying that voltage drops across the battery ground strap (negative lead), I'd make sure all connections are clean and tight.
Is it a sealed battery or a conventional, flooded type? If it's flooded, you want to make sure that the electrolyte levels are good.
How high are you keeping the revs when you ride it? You're not really charging until you are consistently in the midrange. You will also drain the battery more than you can charge it if you're doing a lot of short runs and stop and go riding.
The battery shouldn't drain that quickly just sitting there (especially if it is an AGM), though the cold will reduce it's ability to discharge quickly. You could try disconnecting the battery ground and measuring current between the negative terminal and frame to make sure you don't have a constant drain on the battery even with the ignition off, such as a (very thirsty) clock or a voltmeter that is hooked up directly to the battery.