We introduce a lattice fermion-Higgs model with one component 'reduced staggered' fermions. In order to use the fermion field as efficiently as possible we couple the two staggered flavors to the O(4) Higgs field leading to a model with only one SU(2) doublet in the scaling region. The number of fermions is doubled in a numerical investigation of the model with the hybrid Monte Carlo algorithm. We present results for the phase diagram, particle masses and renormalized couplings on lattices ranging in size from 6(3)24 to 16(3)24.