As odd as it sounds, and I think this might've been mentioned somewhere in the forum, but I think Last Crusade is more reminiscent of Raiders because of all the dustiness and the dirt. Indy has his fair share of challenges in ToD, but they all seem to be with his mind, or something along those lines, like when he's forced to lower Willie into the lava pit. There are some good fights, but overall, I think it isn't quite as dirty and brutal as Raiders, if you get what I'm saying.
Last Crusade, on the other hand, had a huge amount of that type of thing, particularly the tank chase when Indy is battling Vogel, even more particularly when he's hanging from the cannon about to get crushed. That part would fit perfectly into Raiders, if you ask me. However, there aren't many parts that I could see fitting into Raiders from ToD.