It will ship with the serial number as an alternative to search with on UPS.
Pull up tracking, punch in your SN, and watch the magic.
I got mine back in 12 days - over two weekends and Xmas. I wanted the magazine. The trigger came back smoother and I've had no problems.
The recall is not about a defect - the LCP met government standards. It's about Ruger making it better than government standards, and taking care of the customer. After all, the three people who somehow dropped their gun and shot something could be indicative of a larger number of LCP owners who have poor coordination or hand strength.
Most Single Action Army revolvers, 1911's, and such don't have drop safeties either. Those guys seem to be aware of the situation. They don't drop them.