A number of extensions to the Standard Model of particle physics predict a permanent electric dipole moment of the electron (eEDM) in the range of the current experimental limits. Trapped ThF + will be used in a forthcoming generation of the JILA eEDM experiment. Here, we present extensive survey spectroscopy of ThF + in the 700 -1000 nm spectral region, with the 700 -900 nm range fully covered using frequency comb velocity modulation spectroscopy. We have determined that the ThF + electronic ground state is X 3 ∆ 1 , which is the eEDM-sensitive state. In addition, we report high-precision rotational and vibrational constants for 14 ThF + electronic states, including excited states that can be used to transfer and readout population in the eEDM experiment.