While the International Linear Collider (ILC) has been getting more of the publicity as the next possible e-p collider to follow the LHC, it is not the only game in town that has a realistic technology and the physics to produce TeV scale e-p collider. The Compact Linear Collider (CLIC) at CERN is also a serious contender to be the next accelerator technology for such a collider.
There is an excellent review of the technique published in the latest issue of PRST-AB. Note that this journal is open access. It means that you can access the article for free.
With the ILC currently on its deathbed, CLIC may emerge as the leading contender.
 R. Tomas Phys. Rev. ST Accel. Beams v.13, p.014801 (2010)