Congrats on your admits!
I have to say TRIUM is a new brand/name and it is hard to explain to someone (or a lot of people) who have not heard of it, what it is, since LSE does not even offer an MBA but I can definitely see what they were doing - trying to get 3 strong brands but you will likely have some growing pains while Kellogg has a well-oiled EMBA machien with other partner schools (I there are 5 such partnerships overall).
I would pick the program where you can network well with others. One of the big values of the EMBA program, is the network and connections you will build with your peers. It is not about cool professors (which I am sure all programs have) and definitely not about on-campus recruiting since that does not exist really, but the big opportunity is your classmates. You will be learning from them, from their mistakes, and they will be learning from you and your mistakes. If most of the time you are just doing online modules and skype calls, that will
not help you build camaraderie. You need to be together, locked in and suffering - that will make you bond and learn. You want to be able to hit someone up 5 or 10 years from now and have them remember you as a person rather than a username like "bb" or something
Think which program has a good size student body and will allow you to interact frequently with your classmates. See which program has the people you want to network with and then pick that program.
P.S. The HKUST/Kellogg weekend events are quite fun, filled with team-building exercises and events around the Clear Water Bay and HKUST campus. I had a chance to see one of those in action. They used to stay on campus a number of years ago - not sure if that's still the case or if they moved the program downtown now.