Abusing RPi GPIO pins as a radio controller
riveducha.com
riveducha.com
There is no need to be able to toggle a pin fast enough to be able to transmit at a given frequency. You can rely on the harmonics to get you to a much higher frequency than your code is toggling the pins.
http://ok1ike.c-a-v.com/gnat_40.pdf
There are 100's of similar simple circuits that generate RF that is clean enough.
There are no shortage of simple Analog transmitters which meet FCC specs.