Trying to drag your tri-bike around the world will probably at the least be grating and at the worst earn you the emnity of most folks with you and trying to serve you (cabbies, hotel staff etc.) as previously mentioned most layover hotels have adequate gymns, pools, and weather permitting outside running opportunities, so you can cover training on 2/3 of the tri legs. Keep the bike at home and devote that time for biking. It's the little things on the road that make it bearable. having your bag in your lap for every cab ride cause your partners bike is in the trunk over a 12 day/15 time zone trip would test the best. .....food for thought.