Would there be anything inside I should worry about?

If you hack into a well sealed system there will likely be refrigerant
escaping. If you slice the box such that you don't contact any cooling
components all you will find is insulation and sheet metal. Call your state EPA
office if you want to learn the legal ins and outs of handling old Freon (or
whatever) containing appliances.
Might be that the cooling grids are pretty obvious in the bottom, in which case
you could SawzAll off the half above them and lug the carcass to the curb. Good
luck.

Joe