Have a few to choose from. Maybe a 1905R .303 Ross sporter. Just fitted a Redfield aperture sight to one that had been previously drilled and tapped. Or, if I can get it shooting to my satisfaction, my Starr carbine. The Mauser Type A would be a classic; so would the 6.5 MS. There are a few milsurps that would be interesting. Or maybe just stay with the Ruger .44 or Winchester 94 in .303 Savage that I carried last November. So many to choose from. 14 days in the deer season, perhaps a different rifle every day?
Glad I noticed the PPK; otherwise I was would have wondered exactly what you were planning to do to the deer.