I am not in your area so I do not know lawyers there. There is made public a reference book for lawyers called Martindale Hubbell (martindale.com) where you can research lawyers or law firms. You can see who they represent and what the outcome of their cases were. You might want to start there.
Also, found this from a CA attorney, it may be useful.
/www.lymedisease.org/ssdi/I have heard of many people applying that it was NEVER granted on the first attempt, rarely on the second and that 3 and 4 attempts were made to qualify for SSI or SSDI.