The hotter the wood, the less creosote you get. Hot as in BTUs. Generally, the denser and drier - and the faster the air-flow - the cleaner the burn.
Wet, sappy pine in a campfire or severely dampened stove = most creosote.
Dry mountain mahogany or oak in a stove with fast airflow = least creosote.
In hunting situations you might be limited, but I've had generally good luck with dead, gray branchwood that is still on the pine trees. The stuff closest the forest floor that dies as the trees grow taller. It's denser than the rest of the pine wood, is generally dry, and you can get it in sizes wrist-thick and smaller usually. It also breaks into stove-length pieces fairly easily, without tools. If it breaks off the tree easily, it's dead and good to go - if it's bendy and doesn't want to come off, it's not seasoned or dead enough yet.
You can get rid of a lot of creosote after a hunt by setting up the stove at home and burning really clean, dense wood, as hot as the stove will allow. One full load, get it going hot, just not so hot it warps things. There are also chemical logs you can get at most hardware stores and even wal-marts in colder areas that are designed to burn creosote. Toss one of those in too. But don't leave the thing unattended.