Depends on what size gas cylinder you intend to use.
A good size mug is the 450ml, but if you intend to use it on the stove, you will find that when it boils it will overflow and extinguish the gas. The next size up is 600ml, and that would be pretty good I think. Google search says its large enough to store both the Ti and the 100g gas cylinder but you would need to make a lid for it. Check out Jason Klass' comments on it
hereAlso worth looking at the Mini Solo cookset - it will take the 450 inside and a 100g gas cartridge, and be suitable for your longer trips.