At least once she's been lectured about starting a family by pharmacists when trying to pick up her prescription which caused us to switch to a different pharmacy.

It's possible it's all imagined, but I don't really understand why a pharmacist would only give one month when the prescription is for multiple months, or why the prescription can't be for longer as to require less doctors visits / bills. We certainly haven't had the same experience picking up other prescriptions.

"why the prescription can't be for longer as to require less doctors visits / bills."

They aren't just renewing your prescription? Most places see you once, or once per year, and then just keep renewing it.

Most insurances/pharmacies even have partner mail order services where you can turn on auto-renewal and auto-refill. That might be a good option to look into.

Your original question was whether there were barriers. Now you're clarifying you mean political barriers determined by the intent of the provider, which is of course opaque to us. Is it possible under these constraints to describe a barrier you'll accept?

Generic issues are not barriers, especially if they are not universal. There are online services that can cheaply provide these services conveniently. Just because someone uses a provider that provides poor service is not a barrier when alternatives exist.