From the looks of this thread, not sure if there's been an update for R4i SDHC, but it looks like the game doesn't work on your card.

Official Super Scribblenauts Thread

It says

It says R4 clones, but I don't know if that refers to R4i SDHC.

Do yourself a favor and buy the Acekard 2i for $15.00
Acekard 2i @ www.shoptemp.com

Mainly because if it's not the original R4, you shouldn't be buying it because it has poor support and everything. And with the Acekard 2i you don't have to worry about AP or wondering if your card will get updated.

Or you could get the DSTWO for $35.00

DSTWO @ www.shoptemp.com

It's as good as the Acekard 2i if not better. It has more features and such.

But bottom line, don't buy R4i's or any of the clones unless it's just the original R4 that supports Wood.