Remington Does make an Over under rifle and shotgun combo gun. Chambered in both 12ga or 20ga for shotgun and an assortment of Rifle calibers. 30-06 being the largest. I do believe it is also available in .223 and .308 as well. That would be a good do-all rifle for your situation when bird and game hunting. Or like you said just move here to the US and solve your problems with the restrictive gun laws you are dealing with in your country.