I don't believe there is anything sacred about 40' or 60' thresholds, as a 39' truss or a 59' truss could also fail during erection, twisting in place and falling to the ground, if not handled properly. Of course, 40' or 60' may be municipality stipulated thresholds, but also of course, a municipality non-requirement doesn't mean it's OK. The combination of gravity and geometry will determine what happens to your trusses.
The IBC requirement pointed out by R
certainly makes good sense.
Assuming your truss has been designed properly to support required loads when placed vertically and bridged, braced and diaphragmed, during erection it should be supported in place until that bridging and bracing and diaphragm is fully installed. What is minimum support? That is to be determined professionally, but be conservative.
I think non-snow Texas is worse than heavy snow areas, simply because your trusses will be lighter; and, therefore, I'd guess, have even smaller weak direction properties, and, therefore, be even more likely to buckle during erection if not properly supported.
There are wood truss industry associations that almost certainly would provide general guidance. APA-EWS in Washington very well may have guidance. I know that SJI provides guidance for steel joists including certain requirements for rigging to remain in place until certain bridging/bracing is installed.