RE: 36 caliber pistol for small game?
I use a .44 caliber F.L.Lippeta model 1858 revolver and have used it for small game. I bought the target model a number of years ago from Cabela's. With 25 grains of Goex 3f and a roundball this is very accurate. We snowshoe rabbit hunt with the revolver in the winter time. Put on snowshoes, and truck the marshes looking for bunnieswith the revolvers, makes hunting a whole new aspect to hunting. I am sure your .36 caliber is more then enough for rabbits and squirrels. Whether you would want to tackle something largers such as hogs is another thing.
As far as deciding between the two calibers, if there ever was a chance you wanted to hunt something larger then rabbits, the .44 caliber would be a better choice. They are accurate, and there is no recoil at all with the revolver. They are very nice to shoot. Our whole group was shooting mine the first weekend I got it. All the husbands and wives were blasting aways with it. The women actually did very well with revolver.
Just make sure you pull the cylinder between shootings and wipe all the parts of the revolverframe and wipe the cylinder down. Makes future reloadings easier.