I would like to suggest a steelhead course. I took one with Pacific and I think it would go a long way to confirming what you know is good and maybe identifying some things that are not so good.
Covering the water in a grid is a good general technique, however, there are portions of the grid at the head, gut and tail of a run that have a higher likelihood of holding a fish and those locations (just like salmon) will change depending on water conditions. Therefore, there are certain grids that you would want to cover more frequently than others.
Once you have fished head to tail and had no action, you may wish to consider a different presentation. I will often put three different baits through a run, if that does not work I conclude that either there are no fish there, they have been spooked or more likely my skillz are still less than l33t.
It's my understanding that Steels are fairly aggressive and if they have recently entered the river or moved due to fresh water they will typically strike at many different presentations. There is the obvious caveat about water conditions, because they will more likely hit a single Jensen egg under low and clear water than a 6 inch bright pink worm. In coloured water then anything big and bright will probably work. Saying that though, I have been on the river where everyone seemed to be fishing big gobs or roe or roe bags with little success, which prompted me to try a hammered silver blade which has then be successful in water that numerous anglers have already fished through.
So going back to your quandary about staying on a run or moving on, my suggestion would be to find a number of runs you like (because you have caught fish there before or seen others, etc.) then fish each run with a number of different presentations, such as roe, worm, blade or single egg to fit the conditions. If that does not yield results, then move on to your next run and repeat. However make sure to cover all bits of the water, particularly if it's coloured, even within a couple feet of the bank.
I think that standing on one spot (I thinks it's called fence posting, right?) can yield results, however changing presentations and locations once you have covered the water properly will give you better results.
Please note I am a novice steelheader like you, therefore take this advice with that proviso. However I feel confident in the above approach, which you may also find useful.
Hope this helps and good luck. May see you out there.