If reading will be the primary function of the light, then what you need is flood (even, low lux). I don't know what kind of diffuser will fit the iTP AA, but a piece of tape should work.
The problem with reflectored light, especially the XPE-reflectored lights is that hotspot is very-very small at short distances. This does 2 things:
1. your eyes adapt to the brightest part of the beam
2. the spot will allow you to read 1 word at a time
I've tried doing this before I got a zebralight and its not fun.
In terms of appropriate lumens. I think, what is meant by this is brightness or lm/Area, which has units of "lux". So a flashlight with low lux is what your after. Therefore:
+1 Photon Freedom or ZL H series