For the Blue Mountains, aim to do a good walk in the Jamison Valley and another in the Grose Valley.
On the Jamison side there's the Ruined Castle which is an enjoyable walk sheltered under rainforest canopy beneath the cliffs of Narrow Neck. You could start from Golden Stairs (really need a car to get there) or from bottom of the Scenic Railway. The panoramic view from the top of the Ruined Castle (a rock formation) is fantastic. Some notes here:
http://ozultimate.com/bushwalking/walk.php?nid=236. There's also the National Pass at Wentworth Falls. It's years since I've walked in that specific area but certainly worth a look:
http://www.nationalpass.com.au/.
A must do walk if you are in the Blue Mountains is a walk into the Blue Gum forest. Park your camper @ Govett's Leap. You could get a taxi from Blackheath or Govetts Leap to the carpark at the top of Perrys Lookdown. From there it's a steep 600m descent to the Blue Gum forest. From there it's several hours to walk out via Govett's leap (a steep climb from the valley floor back to the plateau). The Grose Valley is my favourite place for walking.
If you have time, also try and check out the Grand Canyon loop which is also at Blackheath. This was only recently reopened.
We've had a dose of wet weather. The temperature can get to 30 degrees C in November in that area. With the weather patterns we've been having, that seems unlikely. Carry at least 3 litres of water. I also suggest you buy the Katoomba 1:25000 and Mount Wilson 1:25000 topo maps. These are about $10 - $15 each. The freebie maps just don't have the detail you need.