They won't draw comb if they don't have nectar income, but 1:1 can substitute.
They won't draw comb if they aren't warm enough, but you can insulate the hive to make it warmer.
But these actions won't force them to draw comb, they only remove barriers.
You can move stores frames up into the new box, where they will 'seed' it and give them the idea of putting more there.
BUT you need to think carefully about keeping stored syrup from being mixed with any honey crop - but that is a long way away still.
The best place to put a frame of foundation to get it drawn is between stores and brood. With a smallish colony, you should avoid splitting the brood with a frame of foundation.
With a new box, new frames and foundation, its probably a good idea to put the box under the rest for a couple of weeks to get it (necessarily) used (even if only as an entrance passage) and importantly bee-used - which will make it more attractive when it is moved up.
However, because you are using an OSB hive, you have the opportunity of another option.
You can rearrange the frames to a double-brood config. You'd expect to be using (at least) two boxes for brood.
Rearranging the frames needs a bit of care - you must keep the brood together, vertically and horizontally. Having the assistance of a more experienced beek would be extremely helpful.
This should give you the opportunity to use the 'one frame of foundation between brood and stores' thing at the same time.
My suggestion would be to have no more than four frames of foundation in the double-brood config, and to use dummy boards.
It would be a very good idea to get a few frames part-drawn, by temporary insertion into this double brood, and then use them to present the bees with a 'super' that is not completely undrawn.
If they don't draw and use the new box swiftly, you must expect swarming - and so you do need to keep a sharp lookout for swarm queen cells.