  A periodically driven lattice with two commensurate spatial periodicities is
found to exhibit super metallic states characterized by enhancements in wave
packet spreading and entropy. These resonances occur at critical values of
parameters where multi-band dispersion curves reduce to a universal function
that is topologically a circle and the effective quantum dynamics describes
free propagation. Sandwiching every resonant state are a pair of anti-resonant
{\it trapped states} distinguished by dips in entropy where the transport, as
seen in the spreading rate, is only somewhat inhibited. Existing in gapless
phases fo the spectrum, a sequence of these peaks and dips are interspersed by
gapped phases assocated with flat band states where both the wave packet
spreading as well as the entropy exhibit local minima.
