Math is all about doing, doing and practicing and thinking about it will make you intuitively know.
Most of math, hell most of the world has concepts which are unintuitive. Distance per unit time is not a concept that exists in reality, it was made up by the human mind to model a concept called speed. Instead of trying to visualize something that dosent exist, concentrate on working with the concept, and working with the concept will build intuition as to how it works, and what it can be used for, limitations etc... not necessarily what it is (How do you visualize the concept infinity? .
Alot of mathematics was done by working backwards, and then erasing the backward work and presenting it as it came straight from the word of god. If you first start looking at some of the concepts like groups or rings, you cannot fathom how in the world such an arbitrary rules came about but as you dig in and work with them, you undertake the backward workings that were done by the guys who came up with the stuff and you say "aha, i now understand why they did this".
So instead of trying to visualize everything, try to understand what it does and what it could be used for, work with it. The visualization will come naturally as part of the intuition you build.
If you go to a new building you don't worry about not being able to visualize the floor plan, because you gained enough confidence and intuition from walking in hundred thousand buildings before you enter this one. You become an exponentially better mathematician as soon as you stop doubting yourself and have confidence to believe in your ability. Put enough effort into mathematics and i will gurantee you will become first rate.