I did that a few years ago. It (60 kHz) is a fun signal to watch. With audio, it's soothing.
You may need a better receiver. I am in Northern Ohio, and a simple ferrite rod worked at night. I needed a larger shielded loop antenna (100 ft wrapped on a form) for daylight reception. You can also make a signal simulator, which is useful for debugging your program.
The usual technique, which I assume you know, is to set an RTC or other clock to WWVB. Use the RTC/other for time keeping, and reset it periodically when the WWVB signal is strong.