I mean, even if you assume the warforged is especially tall, you've still got to fit that pike into a space that's at most a meter long? Since you can't really put objects in joints, your largest available space is the torso.

Carrying a portable ram isn't prohibitive mechanically. 35 lbs is less than heavy armor, and less than 15% of the carrying capacity of a Str 16 character. Considering the benefits a ram offers, I think that's a fair trade.

One more issue, what about containers? Could you, for example, put a large number of objects inside an integrated container, then stow the container? Could you put people in there? That could allow you to smuggle just about anything anywhere.