Proposed theories beyond the Standard Model (SM) can support the breaking of CPT and Lorentz symmetry. Modern searches for violations of these symmetries are often performed using the Standard Model Extension (SME), the most general effective field theory parametrizing CPT and Lorentz violation. The breaking of these symmetries in the SME is characterized by coefficients that couple to the fields appearing in the usual SM. Thus far, searches within many areas of physics have resulted in numerous constraints on coefficients across all sectors of the SME. However, there is a large disparity in the number of constraints on placed in the quark- and gluon-sector. This is in part due to the difficulty in connecting quark-level interactions to hadronic observables. Deep inelastic scattering (DIS) provides a setting where quark-sector coefficients can be directly accessed. In this work, we focus on the observable effects induced by a particular subset of CPT-even coefficients on the unpolarized electron-proton DIS scattering amplitude. Bounds on the coefficients are extracted using pseudo-data mimicking the experimental probes attainable by the proposed electron-ion collider configurations at Jefferson and Brookhaven National Lab.