I doubt any physician would prescribe you a medication to simply delay your cycle because it falls during an inconvenient time. Be aware, these medications are not magic pills--they could have side effects that could be much worse than dealing with tampons and PMS. Please understand that these medications you are referencing are serious hormones, there is a reason they are not available for OTC purchases. You cannot begin hormone treatments and prescription treatments on a whim because your body's biological functions are arriving during your vacation. Besides birth controls do not guarantee no period, each person can vary. You should speak to your dr, he is the ultimate decision maker, not people in an online forum.
Here is a list of side effects:
changes in sexual interest,
increased hair growth,
freckles or darkening of facial skin,
vaginal itching or discharge,
skin itching or rash,