my feet are too big to comfortably fit in the box which houses the pedals (I'm sure there's a name for it)

That would be the footwell. There is also such a thing as a pedal box, but I'm pretty sure that is just the pedals themselves and associated brackets and bits and pieces.

(list 6284, Mk1 S/N 00299 4GB blue [for sale]. Mk2 S/N 080000094 6GB blue)
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(list 6284, Mk1 S/N 00299 4GB blue [sold]. Mk2 S/N 080000094 20GB blue)