The queen will only lay enough that the bees can take care of,and giving them room above before the fill the bottom box up will not make them build faster. From what I have learned, bees will build upwards faster than outwards. Try a five frame nuc box with brood and then put another nuc box with out the bottom on top with the drawn frames and they will fill up a lot faster.
That's not always the case. I've heard of a few cases, especially with Italians, where the queen will lay at a rate greater than what the workers can insulate in the spring. Although, it is true they build up faster along the virtical rather than horezontal plane, it's not too hard to coax them to build outwards.
MrILoveTheAnts, you may want to consider starting such a small group off with just one deep box. Two is far too much space. Even if it's drawn, there's no way that small amount of bees would be able to adequately patrol the comb surface and keep it free from damaging insects such as wax moths or SHB. If these other 7 frames are not drawn, to entice the queen into laying, and the workers to draw out the comb, be sure to feed a thin 1:1 sugar syrup. In my experience, a top feeder is best as the boardman will seem to always attract ants and, with a weak colony just starting off, that's the last thing you want.