Normally when I look for a HD base I immediately look to steel bases and rings. I know someone makes a steel base for a handi but I cannot think of the manufacturer... There are a number of good sturdy rings. Burris ZEE, WARNE Maxima and LEUPOLD PRW are tops on that list. But I gotta say, factory bases, weaver bases and those like them have been fine in my heaviest recoiling handis. (500 S&W and stiff 45-70 loadings.
I think you will be fine with stock stuff combined with one of the rings I mentioned above.
CW