I've always preferred the .36. Like .22 caliber in cartridge guns, IMO it is the better target round.
Top strap revolvers are a little stronger, but heavier, and don't tend to shoot loose over time. Still, a .36 Navy is a very good gun which will last for years if you don't hot load it. As with rim and centerfire, revolvers are fiddly to clean because there are six holes in the cylinder, and the cone area gets real cruddy.
> in case I don't like the hassel of loading and cleaning.
Consider a muzzle loader. Like single-shot cartridge arms, the slower pace lets you relate more to the weapon and make every shot count. Much less hassle to clean, too.