When you say that your job takes you out of town, do you mean that you have to drive or fly? If you drive then NO PROBLEM! Get a small lightwieght machine and take it with you. I'd do my cutting at home.
If you fly then you might have to pack more hand-type work. You could always sew the blocks together and sandwich a baby quilt at home and take it with you to hand quilt on your down time in a hotel.