This is precisely why I'm suggesting the Romanian approach. Wildlife in Romania is the property of the State and the State is responsible for its management. That's all wildlife, from pest species to big game and predators. There's no sport shooting scene that I'm aware of, firearms ownership is based around hunting so if you want to shoot you join an association, complete whatever training is required and get on with it. You automatically have access to land.
CH
As a Romanian hunter, I must say that this is somehow inaccurate.
Our system here is far from perfect. Why we have it like this would be a long story.
Yes, the state "owns" the game.
The entire land is organized in large hunting areas (5-15000ha) that are clearly delimited by natural barriers (rivers, ridges, peaks) or visible artificial ones (roads, railways).
The hunters are organized in non-profit associations and, once every 10 years, they will bid and buy the hunting rights. The organisation will have to do the game management but will not be able to do anything they like, they will have to have some annual quotas approved.
How they will share the quota is something private to that association.
Some of those hunting areas will remain as managed by the RNP (an entity that is managing the public forests). They have a list of prices for all the species and is the same for citizens and foreigners (this is not fair in my opinion!!!) .
So, the access is public only for the hunting areas managed by the RNP. And even that is limited by their annual quota.
The average hunter that wants to stalk and hunt a deer will first try to
buy a tag from his association. If not available or too expensive, he could try at another one or at RNP. With the tag paid, he has the right to hunt but only accompanied by the gamekeeper representative. The only exception is for some small game where they could organise themselves in groups of 2-5 and hunt without the gamekeeper.
Also, there is sport shooting. Not everyone must be a hunter to shoot.
Gamekeepers could not do effective predator control due to the quotas and all sort of restrictions (especially for big carnivores).
The system is prone to all kind of abuses in terms of allocating enough quota and somehow overregulated.
The best thing I could see in our way of hunting management is that the management is done on very large areas. This has some advantages in terms of valuable genes conservation.