You have not provided enough information to give much of a recommendation. The Second Series came out in 1948 and ran until 1955, when the Third Series came out and ran until 1977. Thus, it is possible to have a Second and a Third of about the same age, and thus the same quality period. A 1948 gun generally would be better than a 1977 gun, but they all vary so much from gun to gun that it is hard to say which would be better.
The Match Target triggers were intended to be better than the regular pistols, but they are not always. Again, they vary. The heavy barrel IS the major difference.
If you have a Model 41, I probably would try to get about the same age of Match Target, just for a better comparison. Since the Model 41 came out in 1957, that would eliminate the Second Model.
I generally prefer older guns to newer ones, so I would choose the Second Model unless the other factors mentioned are more important.