Is there an easy way to interface a receiving 457kHz ferrite rod antenna with a microcontroller (BeagleBone Black)?
Since you know the frequency, you might try either of these:

1) use an analog multipler such as MC1590

2) use a gated OTA such as CA3080 or (the triple) CA3060

3) build your own synchronous detector using analog multiplexors; remember to implement both Inphase and Quadrature channels.

4) use the NEE602 double-balanced mixer

ohhh you may want some narrowband upfront amplifiers. The standard IF transformers operating at 455+-5KHz should be fine.

In fact, just get an old AM radio, and attach your crossed ferrites to the output of the mixer.

You probably want to pose this as a new question.