Nepenthes rajah are ultra-highland plants, so the conditions you mentioned are almost certainly not going to work. They need very cold temperatures, especially at night. Without this they won't produce pitchers, and are likely to perish.

Humidity is good, but it's mostly a consideration at night. Their daytime humidity can drop fairly low during the day in their natural habitat.

Nepenthes rajah also grow in ultramafic soil, which means it is slightly alkaline and has a high mineral content. This is tough to duplicate at home, and is more of an advanced growing consideration.

Here's a shot of my personal rajah:
http://www.predatoryplants.com/PhotoGallery.asp?ProductCode=NEP-RAJ

Here is a link that might be useful: Nepenthes rajah picture

LOL! That's not a rajah! This is a rajah.

http://icps.proboards.com/index.cgi?board=nepenthes&action=display&thread=787

BTW maybe your "ultramafic" soil isn't so good for the plant. Carnivorous plants don't do well in soil with "high mineral content".

Not sure if I'm maybe missing sarcasm Taz, but that's not correct at all. N. rajah grow exclusively in serpentine soil, which is quite high in several minerals.

While plants like VFTs, butterworts & sundews don't like a lot of minerals or nutrients, many Nepenthes (like rajah) grow much better in soil with a higher mineral content and can take a surprising amount of fertilization.

Also, korinthos asked if anyone had one of their own that they could show, not who could find the biggest on another forum.

so which ones like that soil best?