Bridging the Gap Between Genki II and Quartet I (self-study)

I've had the Quartet books (I and II, and workbooks) for a couple of weeks for self-study. I've managed to read the first reading and feel like I've just dropped into study a bit deeper than I am ready for. There are a lot of kanji that it is assumed I will know (no furigana). I could probably manage with Kodansha's Kanji Learner's Dictionary, but it will feel slow and tedious.

My lesson plan is to drop back to Genki II for an hour a day, filling in with Todai News and whatever else I can find to re-build my practice. I'm looking for advice from others as to what else might help bridge the gap.