A.S.
Yikes. I'm not sure there is much a way to maintain your supply without pumping while you're away. When I went away I would at least pump once in the morning as soon as I got up and then once at night before I went to bed. That way I could try to empty my breasts as much as possible to ease the pain from fullness and keep from getting plugged up.
But you may be ok depending upon how many times a day your 10mo old is nursing. If it's just 3-4 times, you may be okay without pumping...if it's more than that, you may end up feeling more uncomfortable and full than you think and you may actually want to pump.
But 5 days shouldn't be long enough to completely dry you up and normal nursing should be able to resume upon your return.