Handi rifles are reliable, you can get the trigger to a crisp 2.5 - 3 pounds, they can shoot very well with a little care, but cheap they are not. When you can buy a variety of economy bolt action rifles for approximately the same amount of money, a single shot break open is not cheap. Like you said, if you put on different stocks, stub one or bore one out, you really can have a lot of bucks in them. You can put the same into a cheap bolt do a home trigger job and buy a barrel for $200 and have a good rifle too. After you sink some extras on, you could have bought a quality, middle of the road bolt action for the same amount of money, say a Remington 700. I recently bought a .243 700 ADL with a camo stock for $400 with rings, mount and a cheap scope. Handi rifles are very good and I like prefer single shot rifles, but cheap, they are not. BTW you can make a bolt a single shot by purchasing a tray for $15 or load one at a time for free. I have lamented on this before and I am definitely in the minority on this forum about Handi value.
Good Luck and Good Shooting