The parts of Africa where BP's come from have very high humidity year round. 60% is fine, I keep my cages at 60% all the time. As long as you have enough air exchange (ventilation) in the cage, and there isn't condensation building up on the walls of the cage you re fine.
The only thing to worry about is keeping the substrate too moist. If the substrate is continually damp your BP could get scale rot. Just let it completely dry out for a few days before rewetting it again and you should be fine.
Chart showing humidity in Ghana:
The blue line shows average % humidity highs
The orange line shows average % humidity lows
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