B31.3 requires that you only evaluate the maximum computed stress range. You need only look at one of those load cases L10 through L37. But the high stress range may change from node to node so you'll have to pick and choose. You can set up another load case - L38:L10,L11,L12,...L37 and set combination to max to throw all the max. stress ranges for each node into one report.
But... B31.3 para. 302.3.5(d) says that when stress range varies, you evaluate the max. stress range using an allowable limit with an adjusted N. The number of cycles (N) used to set f is a function of all the other stress ranges. It's a cummulative damage thing. Quite the hassle.
If several of your load ranges produce high stresses, and if you have high cycles for several you might want to use your approach.
I think, in general, your approach here is uncommon.