The Model 1895 sporting rifle in 30-06 or any other cartridge for that matter, never had a barrel band.
I would need a lot of close up photos of several areas in order to put a reasonable value on it.
95s don't bring the big bucks of the 73s, 76s and 86s but are collectors none the less........without some very good and in depth photos, but from what I can see yours appears to be in decent condition except for the barrel band and any damage that was done installing it.
My best guess would be anywhere from 500-1000, depending on that added band.......can't do better without having it in hand or as I said many good detailed photos.