Sorry that I'm so far behind in reading this forum...
I've noted the following paper a few times before, but it is a very interesting and informative look at the problem.
You might find the paper "Analysis and Design of Laterally Loaded Piles and Caissons in a Layered Soil System", by T.R. Naik and A.H. Peyrot. It was published in the 1970's in an ASCE journal. The paper is based on a modificaiton of Broms' method and it has a very practical approach with a good example problem and a pretty extensive list of references.
Also, "Drilled Pier Foundations" by Woodward, Gardner and Greer, McGraw-Hill, 1972