Bart –
My ideal “brush gun” is one that is quick-handling. easy to get on target with, and packs the appropriate punch at the ranges I intend to shoot. The ranges are often the bugaboo, as I tend to hunt areas where the ranges can run from a few yards to hundreds of yards as hunt through the day. Also, since I usually hunt both deer and elk in the same season, the whump factor is higher than I might go with for only deer. Low-power optics or highly visible irons for the sighting device.
Given the above, there are still plenty of good options. My Marlins in .30-30, .375 Win and .45-70 all work, although somewhat limiting on range. In rifles I don’t have, I would consider the following:
Marlin levergun in .308 Marlin Express or .338 Marlin
Ruger Compact or Remington Model 7 in any of the following: .260 Rem, 7mm-08, .308 Win
Ruger shorty (not sure the model)in .300 RCM or .338 RCM