Iandandav, people here are trying to help you, but you are making it very difficult for them...
You said "The spacing can't be deduced until the number of props has been determined."
However, this doesn't take into account that, for example, you may only need one prop for the applied load. However, you know very well you would need more than one prop.
So you can determine a minimum number of props for the load, but it won't necessarily be enough. One prop on a five metre span will not hold up the back of your house, regardless of the load applied. You also aren't going to want to space them at more than about 900mm or so, otherwise the brickwork will not arch between them. This is why spacing is also important.
If you use Strongboys and prop from one side only the capacity is greatly reduced due to the cantilever effect of the load applying a moment to the prop.