LCR is a good candidate. Light, fairly cheap, functional. You might decide to become a handgun guy once you get to shooting a good 22 handgun, and find out how much fun it is. The LCR will work well for fun plinking as well as trapline use.

Avoid the Heritage, it is straight up junk. Avoid Taurus, same story but one small notch higher on the junk scale. I've seen 22 revolvers in both of those brands straight up stop working. Just like buying any tool for work use, when you think you can get away with buying a cheap one, that will be the tool that breaks when you most need it, creating more hassle and potentially costing more than if you'd just bought a quality tool to begin with.