@Red Leg
You are right for october not being prime time for roe and red deer. Rut over. My reasoning was, as an option for authentic and iconic european species, in the time frame of october beer festival. The seson for them may still be open, although not in rut.
Fallow deer i skipped to mention, being basically introduced species from midde east. The species i mentioned are trully continental, authentic species., combined with well organised hunt in local traditional manner, should give true hunting cuktural experience.
Personally, i never hunted in high Alps, and in the same time ciontrolling the budget, and Austria being near to me, i keep my focus on alpine marmot to hunt, depending on my availanle hollidays in hunting season in the fall.