Doxy is the usual approach when it's a very recent bite, as yours seems to be. Biaxin is the same as clarithromycin,
Dr Burrascano's 'treatment guidelines' posted on the ILADS website say:
"First-line drug therapies for Lyme disease may include (in alphabetical order): oral amoxicillin, azithromycin, cefuroxime, clarithromycin [=Biaxin], doxycycline, and tetracycline. These antibiotics have similar favorable results in comparative trials of early Lyme disease.