Wow, those are nice! I'm with Shrap on the flatside .40-72. The early flatside with non-locking lever is a rarer variation. The one thing that stands out to me on the .30-03 is the metal at the tang is proud to the wood, which is an indicator of sanding/refinish.
If elk were on the menu and given the limitation of the sights, the .40-72 is the one I'd choose.