Filling medicine prescriptions while traveling

It's a challenge. I have 2 meds which are controlled substances which require a paper prescription for every refill. On top of that, I have to get blood drawn once a month and get the result faxed to my Dr. Half of the time, the lab says they faxed it and my Dr says he didn't get it requiring me to intervene and get it done. Enough of my problems. I used to use a local super market pharmacy which doesn't exist in the south so now I've switched to Walgreens because, at least, they seem to be everywhere. But I still think the account has to be switched to the pharmacy you are using even though you would think they would be linked by computer. Haven't had a chance yet to test Walgreens away. Really it's not a huge problem. It's just not fast because they always have to call the previous pharmacy.