Bear in mind that bandsaw boxes generally require you to cut reasonably thick stock (assuming that, by bandsaw box, you mean one cut from a single block of wood). That means not only height under the blade guard (say 150mm min, not difficult to achieve, most BSs have that) but also the power to drive a blade through that distance comfortably, accurately and fast enough for you not to be too frustrated by the process.
That's where smaller benchtop machine generally generally fall down.
Having the right blade is paramount, especially if you are using the machine at the limits of its capability. See Ian at Tuffsaws for that, obviously.
S