In this paper we describe and evaluate new spectral line polarization observations obtained with the goal of mapping the surfaces of magnetic Ap stars in great detail. One hundred complete or partial Stokes IQUV sequences, corresponding to 297 individual polarized spectra, have been obtained for seven bright Ap stars using the Echelle SpectroPolarimetric Device for the Observation of Stars (ESPaDOnS) and NARVAL high-resolution spectropolarimeters. The targets span a range of masses from approximately 1.8 to 3.4M_{sun}_, a range of rotation periods from 2.56 to 6.80d and a range of maximum longitudinal magnetic field strengths from 0.3 to over 4kG. For three of the seven stars, we have obtained dense phase coverage sampling the entire rotational cycle.