As a primary care physician I sometimes see people visiting from another country who have lost or forgotten their medications. If they know or have a list of the medications by the generic (chemical) name and dosage, I can usually write a new prescription for the same medication or one closely related to be filled here. Sometimes my own patient will bring a medication acquired overseas that works well for them and I can prescribe it for them here. If the medications are sufficiently important that the OP would buy a new ticket to return home early, then it would probably be worthwhile to see a local doctor for new prescriptions. When I have forgotten necessary medications, I've asked the hotel or my local host to recommend a local doctor I should see for a prescription.
Also, as has been pointed out, there are times when one must put medication in one's checked bag - when a large supply is needed for a long trip missionaries leaving for 6 - 12 months in a remote location, or liquid medications in high volume, or when compelled to check one's carry-on at the last minute. And while the airline may put a notice on their website to carry prescription medications on board, TSA (and perhaps Customs or other "authorities") will sometimes confiscate any amount the clerk deems "more than necessary for the flight" and tell you that you have to check it.
OP, I hope your bag arrives on Monday, but "just in case" consider acquiring the medication locally.