We just finished this one tonight, actually. Party was two defenders (sword/board), a warlock, a cleric and a shaman. We did pretty well throughout, with no deaths (came close a couple times), but started around 2nd level (did other things beforehand). Play dragged a bit at times in the Keep, as it was one combat after another with little role-playing. If your players are new, this may be fine. It might give them a good opportunity to learn their characters' powers. If they're not new, you might consider customizing with a few campaign specific role-playing opportunities.
Anyway, our DM has a nice rectangular homemade table - it has a piece of clear glass on top of surface tiled with 1" squares. He draws right on the table with a marker. It's awesome. He would draw out the area we were in, and erase/redraw as we went along. You could basically do the same with computer print outs - printing out 8.5x11s and adding/subtracting them as necessary.
Also, I mapped as we went. Perfect proportions and scale weren't necessary. We never had to stop the game so I could map - I wasn't counting out squares or anything. It was really more of a flowchart. We map for a few reasons: our DM allows us to zip around through found areas more quickly with less chance of danger if we some account of where we have been though; we can sell the map to the king or a sage afterward; we all just like the idea of a map - helps us get in the mood, feel like we're exploring the unknown. Oh yeah, plus, the map's kind of a sentimental, pictorial record of our adventure.
You may/may not like mapping. We do. We're not fanatic about it, but we map.