Hello!
I've not used the Dixon method for von Frey before, and the maximum likelihood estimate certainly seems to be a complex thing but perhaps this might shed some light?
http://statgen.iop.kcl.ac.uk/bgim/mle/sslike_3.html
Otherwise, have you considered using other methods for von Frey? The DSFN have produced this paper detailing their methods for QST which cuold be of use:
http://www.ncbi.nlm.nih.gov/pubmed/16291301
von Frey is commonly used in pre-clinical studies so might be worth having a look at some of those for their methods. It's been a while since I have done it myself, but I used an up-down method, taking an average of the threshold value.
Also, this might give a few more pointers:
https://www.researchgate.net/post/Does_anybody_now_what_is_the_best_method_to_measure_mechanic_allodynia_with_von_Frey_filaments