We tried that a couple of years ago, for about ten minutes.
The BLM maps are 30 minutes North-South and sixty minutes East-West. Way too big scale for any real detail and pretty much a useless tool for pinpointing, in our opinion.
The USGS maps, at 7.5 x 7.5 minutes, are actually adequate to the point of being able to mark within a second or two, and being the smallest-scale available to us regular people, are what we use for referencing when out-of-the-field.