You do know that they have to completely shutdown a tower to prevent the worker to fry like if he was in a microwave when he climbs one of them for maintenance, right?
A stove can burn me if put my hand on it, so it must also be dangerous if I'm across the room from it, right? Brilliant logic, but unfortunately wrong. Like the heat from a stove, radio power follows an inverse-square law, meaning power is proportional to the inverse of the distance squared. If something is (for example) 1000 Watts at 100 ft from the antenna, it would be 250 Watts at 200 ft and less than 4 Watts at 1600 ft from the antenna.
Many people have reported problems with radio waves especially when close to the transmitter although I do not know if their suffering is psychological or real.
Many people have reported anecdotal medical problems caused by radio waves, power lines, windmills, vaccinations, magnets, aluminum pots, fluoridated water, contrails, and voodoo curses. Until legitimate medical research confirms a causal link, the best explanation for all of these is psychological.