I've done this many times, unfortunately. It's a pain, but you CAN do it. First, tell the hotel you have a medical need for a refrigerator in your room. They won't question it, and even if they do, you DO have a need.
Second, I would not freeze the milk - it lasts longer if it's fresh. My rule of thumb is 8 hours at room temp, 8 days in the fridge, 3 months in the freezer, and 24 hours once it's been thawed. So best to keep it cold, but not frozen.
I store in bags. Bring a bunch and also bring a small hard-sided igloo cooler. Last time I traveled and pumped, which was in June, they allowed me to carry my milk on with me. I asked the TSA person at the security checkpoint on my way into the secure area just in case. Thing is, you will have no frreezer to get your gel packs cold. So what I do is take a 1/2 gallon ziplock bag or two and bring them, empty, with me. Then you can fill them with ice from the hotel ice machine and pack your milk and the ice into your cooler right before you leave the hotel. I also bring a small soft-sided cooler bag thingy and fill my ziplock with ice from the hotel each morning, and then stick it in the bag. That way when I pump on the road I can just stash my day's worth in the soft cooler until I can get it back to the hotel. If you will be at a conference I suggest you ASK THE ORGANIZER for a place to pump. You will be surprised at how accomodating they are. One workshop that I was at, they were able to secure a vacant hotel room for me to use for pumping for a couple days. That beat the heck out of trying to pump in a bathroom stall, which I've also done! If you will be on the road in a car, you can always bring a car adapter for your pump, and this works ok too.
As for how to feed your baby while you're gone, I built up a freezer stash before I left. So last year I was gone for 4 days and had an exclusively nursing baby. I pumped an extra 4-5 oz/day for the month preceeding my trip, so that I would have plenty of milk in the freezer for her when I was gone. I've never shipped, though you can do this Fed Ex if you need to I suppose.
Best of luck! It's not great, but it can be done. Make sure you pump right before getting on the plane or to the airport, because you do NOT want to be pumping on the plane!!