Safety tips for 350V @ 134kHz
I think your concerns are overblown. According to the datasheet, this module only consumes 38 mA at up to 15V, or at most about 500 mW.

While the maximum voltage and current in the antenna coil are 400 V and 200 mA, respectively, this represents the internal circulating energy of the high-Q L-C tank circuit, and this is a very high-impedance circuit node. If you were to come in contact with this node, you would destroy the resonance, and the voltage would immediately collapse to a much lower value.

That's not to say that there are no safety issues &mdash; you do need to insulate the coil properly to prevent accidental contact (or internal breakdown).