[I wanted something that would keep it high and close to my chest so my hands and arms would be free as I am traveling through thick brush.]
A clamp-on QD sling swivel eye can be installed as forward on the mag tube as possible, and another QD eye that has a machine screw base meant for attachment through wood boltgun forends can be altered to replace the front screw in the 336's bottom metal floorplate, at the bottom front of the receiver.
A loose loop strung from them both, with enough slack to grab the rifle for pointing/aiming, should give you the carry you desire, as it once did me.
A third QD eye, installed in the normal buttstock position, makes many slinging variations possible.
The answer to the question of your OP, however, is "Yes".
His handle is "Junior 1942", over on the cast boolits forum - and he made a sling system using a saddle ring.