Handi's need or work best with smaller eyepieces and objectives. Because its hammer necessities higher mounting. N need to further exlemptfy this with the larger odjective or eye piece. Not to mention, most people will not pay more for a scope that the rifle cost them. SO, if you mount your scope properly. Read that as LO to the barrel and as close to the center of the bore as possible. This rules out a number of very good scopes. Scopes because of cost and quality, you might name first as good contenders for mounting on a Handi. Of coarse I am speaking of Bushnell, specifically there Trophy line.
Personally, my first scope choice, (As many of you know) is Leupold. More specifically the 2X7X32 VXII or VariX II either are my favorites. These cab be mounted with LO Leupold PRW or WARN rings on factory or Weaver bases.
As far as fixed or variable scopes. I prefer the lo-power variable as it is far more versatile and today's scopes are very durable. That's is still the biggest advantage of fixed power scopes. They are tougher, (Less to them) Transfer more lite (Less glass inside) and generally are lighter in weight (again, less parts means less weight).
I am not one who is afraid to pay more for a scope than for my firearms. After all, as long as the gun hits what I aim at what difference dose its cost make. The scope on the other hand, IS your sites, skimp here and you are effecting you ability to hit your mark. Like one very smart member here once said, "I cannot afford NOT to go with Leupold."
IMHO, Leupold scopes are the best choice.
CW