That fee and confirmation time would be true if you send on a weekend. The network tends to be less congested during those days. Your transaction would most likely get confirmed by Sunday.

Out of curiosity, did it really say 2.2 sat/byte in 15-300 minutes or was it 22 sat/byte? I don't use that website when I check for fees but I doubt they will underestimate it that much. Like what bitmover said, most fee calculator would overestimate the fees.