By what i can understand from your question, according to the EM spectrum, waves that operate between 10000Hz and 10^9 Hz are radio waves. So we can't help to go to higher frequencies cos we'll be leaving the radiowave region and we'll be moving over to the microwave region.
Even higher frequencies will take us to to the Infrared region and a frequency of about 100Hz which is lower than the minimum freq of radio wave will launch us into the frequency of electrical power.
Guess we aint no choice but to make do with the frequency bandwidth we've got if we really want to communicate via radio waves.