The late season cow hunt for 34 is limited to anything west of 6563 (Sunspot Highway), North of Cathy Canyon and South of the Apache Reservation. With that limited space I would park myself in the area around Haynes Canyon Southwest towards Westside road. Still a bunch of good country.
I live in Cruces as well and would be more than happy to show you some areas on the map. I just wish I was quick enough to get a tag for 34. PM me if interested.
Hinge-cutting serves several purposes in regard to improving both whitetail habitat and your hunting experience. There are two main types of hinge cuts including a cut for screening and funnels and a cut for bedding. Hinge cuts for screening and funnels should be done somewhere between the knee and waist to block a deer's vision as well as block a travel path. Hinge cuts for bedding should be done around chest high so that there is room for a deer to bed underneath.