Magnus,
It sounds like you are misapplying the vintage 1905 theory of special relativity. The "speed limit" only applies in certain situations. The 1905 theory was superseded in 1915 by
General Relativity. In that framework it is perfectly OK for the distance between two objects to increase at several times the speed of light.
If you want to understand inflation, don't think of space as a substance. Don't think of it as some material that needs to be created. Inflation is studied within the framework of vintage 1915 General Relativity. In 1915 Einstein said that his theory deprives space of the last remnant of objective physical reality. Space as a something does not exist, instead what we have is a catalog of distances between things, events----a web of geometric relationships.
It's normal for some of these distances to be increasing at several times the speed of light.
Most of the galaxies we can see in the sky today were already receding faster than c when they emitted the light which we are now getting from them. And most of them still are receding faster than c. The distant ones, not the near neighbors.
The distance measure often used in this kind of discussion is the "proper" or "freeze-frame" distance. That's the distance you would measure if you could
stop the expansion process at a certain moment and then use radar, or time a light signal. It is the distance right now at this moment.
It's not the same as the light travel time measured with the expansion process going on, which gets messed around in irregular ways because the expansion rate changes over time.
This online calculator, if you put in a redshift (say observed in the light of some galaxy) will tell you the freeze-frame distance THEN and NOW. The distance to the galaxy back then when it emitted the light, and the distance now on the day we received the light. You can also use it to figure out the natural travel time. But that won't correspond in any simple regular way to the then and now distances.
Google "cosmos calculator" or look in my signature for the link. Or click here:
http://www.uni.edu/morgans/ajjar/Cosmology/cosmos.html
It will also tell you the rate that the distances were/are extending, both then and now.