Do you look for guided hunt or DIY hunt? Public open land or private fenced land ? Trophy or non trophy hunting? Bow only or rifle?
In Western Europe, France and Spain are the best options.
If you look to an affordable hunt: roe deer in south western France is a good option, the best is beginning August hunt for the rut. Depending where you might shoot a hog as well in same place.
Guided Red stag, mouflon or chamois in late Fall is doable but cost is higher, in government land hunts( ONF hunts=Office National des Forets)
The issue will be the language as in remote rural place, local guys will not speak English.
Spain Is also a good option plus you can hunt there spanish ibex. For a big ram tag is heavy but for young animal or female hunt can be very affordable.
In my place in southern France I can help you with hog, mouflon and roe deer, with local fellows, in unfenced public land.