reading the title made me cringe at the thought. I suspect bending over and drinking backwards from a glass of water is out of the question due to your back (that one always works for me) Apparently holding your breath helps, never managed it myself though, the hiccups always squeeze through hehe. Hope your back mends quickly!
Drink from a bottle (like a pop bottle but it doesn't have to be pop) keep drinking and when you think you can't drink any more, because you need a breath, keep drinking for another couple of mouthfuls....I guarantee the hiccups will be gone when you've finished!