So. This is a ficus elastica. Not the best species as you already realized, because of the large leaves.
It will never be a top notch tree. But might look good in time.
Yes, Ficus Elastica can grow very, very big! We have plenty of those on the streets of Sao Paulo.
As leatherback pointed out, the leaves are big, very difficult to be reduced in size, but not impossible. It will take time, patience and defoliation every summer (if the tree is healthy enough). Good luck!