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Ahhh I just wrote such a nice long response and it all got deleted with one wrong push of the button, ahhh

!!!
I'll try to recreate it as best as possible, anyways

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It's good to hear your 50mcg/hr patch is working well

I'm sorry to hear about your BTP though

Sooo, your scripted 30mg of morphine 6x/daily, with that how many episodes of BTP are you having a day?
And do you always have to take your full 180mg of morphine (30mg 6x/daily) everyday for your existing BTP?
If so, and the BTP persists, you might want to try something else instead of just raising your morphine dose as that might incur some side-effects if you got into the higher dosage range (which your already on the way to) that are unneeded if you were to try another medication, that's the route I would go if I were you, but I'm not so it's up to you of course. Just remember
there is nothing that is going to kill all your pain, some people think there is something out there that is going to do that, but there is always going to be some degree of pain.
Getting the pain down to a reasonable level and getting back our quality of life to the best it can be is really all us chronic pain patients can ask for at this point.
(I just feel a need to say this, I'm sure you know already being a chronic pain patient and all, but it's for anyone else that might be reading this that has that notion)
Anyways,
There are a variety of choices for BTP medication, here are a few just off the top of my head for now.
OpanaIR (oxymorphone) would be one option,
Dilaudid (hydromorphone) as you mentioned would be another, raising your morphine dose,
IR Oxycodone, and then there are the "melt in your mouth" fentanyl tablets as you put it

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Fentora, the buccal fentanyl citrate tablet, is available in 100 mcg, 200 mcg, 300 mcg, 400 mcg, 600 mcg, 800 mcg strengths.
There is also the transmucosal lozenge
Actiq(fentanyl citrate), that come in 200 mcg, 400 mcg, 600 mcg, 800 mcg, 1200 mcg and 1600 mcg strengths.
In my experience, and from experiences of others staying on the same medication for around-the-clock pain management and BTP can be very helpful and is favored by many doctors and patients alike, some people need another strategy and take two different meds, but this practice is very common. For instance my doctor favors that method so I am on Oxycontin for my around-the-clock pain and then IR Oxycodone for my BTP and it works quite well.
(Although I've been thinking about switching to fentanyl patches for awhile now for convince and possibly better analgesia so I can just put on a patch every 48 or 72 hours instead of taking Oxycontin 3x/day + IR Oxycodone for BTP, your post and reading Eagleman's above post, along with others here on BL has me thinking it might provide better analgesia for me, i know there is only one way to find out (try it) but,
what is your opinion between the fentanyl patch and other ER (extended release) pain meds you've tried? and if anyone else out there is reading this that has experience with chronic pain and fentanyl patches compared to other ER (extended release) pain meds please chime in 
)
In the end it's ultimately going to be up to you and your doctor, and you should be able to find a medication that is going to work better for you then morphine, hopefully in a timely manner. Maybe you simply need to raise your morphine dose, or maybe you will choose to try a new medication, it's you and your doctors decision. I hope you will be able to find something that will help your BTP more than the morphine your on now. There are some pretty great analgesics on that list, you should definetly be able to find something that helps you out. Personally OpanaIR and IR Oxycodone work the best for me, although I imagine Fentora or Actiq would be great for me and on the top of my list as I've tried the fentanyl transdermal system (Duragesic) and it worked great, but have yet to try the IR form.
Good luck with everything, you should be able to get it figured out in a timely manner, and always remember, you are your own advocate.
Good luck bro, and please come back soon if you have any questions before your appt. and if not good luck and tell us how it goes afterwards, talk to you soon,
-TheMatador