Of all the dungeons and towers in the game, the Egypt Tower really makes the most sense. There's treasure to find, some of it hidden. The floors narrow as you rise, like a real tower would. There's a good-sized Tri-Lithium cache, but not so much that you couldn't possibly ever use it. It's just a well-designed area, and the only dungeon or tower that's really worth delving on Earth.
You'll find most of the treasure on optional floors that you can just bypass with a double ladder. The floors get smaller starting at level 05, and you'll start to see paths that go down and back up or vice-versa. There's a nice treasure room on level 06 that you have to head to level 08 to get to, for instance.
Things get smaller again at level 10, which is good because you're likely to be running low on resources by now. Delving dungeons as a non-caster is extremely difficult, and even a Wizard has issues because they can't just CastSurface like a Cleric can. There are 31 chests filled with Tri-Lithium on level 15, which will allow you to explore to your heart's content. You only absolutely need 4, but there are some interesting things to be seen on the optional planets.