fm data transmission
For your power transmission, there are many effective ways to make a usable rotating transformer; my personal favorit for your described use would likely be to use 2 concentric coils over a single core (possibly even using the 'axle' as a core), but other methods exist &amp; are effective.
You stated that you have 2 PCBs 'almost touching each other,' with one rotating &amp; the other stationary.  


With this close proximity, I think that rf transmission adds a large amount of 'unneeded complexity' to your design (and as a HAM operator, I like using rf).  
If you use a circular trace on at least 1 board, and at least a portion (arc) of the same circle on the other, you can simply transfer your data (at up to many mbit/sec) by capacitive coupling between the 2 traces.  
In most applications we consider capacitive coupling to be 'parasitic,' but here it would allow you to transmit your 60Kbaud data using simple OOK (on-off keying) high/low voltage outputs using the circular traces as a 'pass-through capacitor' (or 'DC blocking capacitor') for your signal. No rf or optical elements necessary, and it would be incredibly difficult for other units to cause interferance.



NOTE: If you cannot use 'full circle' traces, your traces won't effectively ground any 'accidental inductive coupling' to your inductive power transfer coils. Keep your signal traces as physically distant from the power coils as possible, and consider filtering out the power coil frequency from any trace that cannot be made 'full circle' in your capacitive coupling.