Since we haven't gotten AMCAS sent out yet, I think you still have plently of time for LOR. It should take 5-6 weeks to get your AMCAS verified. I got all my LOR done back in April/May when I was still living at UF since I didn't want to drive up to do it from Orlando. 2 of the 4 got it done within a week. 1 was done after 3 weeks. Last guy (a good friend of mine), turned it in about 1.5 months later, but I told him that was okay since I knew he'd be traveling out of the country. I'm not sure how busy your professors/supervisors/etc people are this semester so it might depend.