I guess it would depend on how often the OP was going to OCI. Toy4x4Runner, are you going to get UOA's, or just OCI every X,xxx miles?
My neighbor runs 10w30 in his 6.0 PSD in the winter, here in Indiana. With the 10w30, he get's better start up and cold idle quality (no "romp", which can sometimes be an issue with a HEUI system). Then he changes to 15w40 in the summer. I just talked him into getting a Fumoto valve, for the purpose of UOA's.
Overall, being in Florida, I see no reason for the OP to run a 10w30. A 15w40 would be fine, and is the preferred viscosity. Further, I'd take a multi-weight any day over a straight weight, ESPECIALLY in a HEUI system. Thick, straight-weight oil does not help promote start-up, and casues drivability issues until fully warmed. Multi-weight is recommended for a very good reason.
Just a technical insight here; it's not the HPOP that shears the oil, it's the action of the oil inside injectors themselves. The 6.0 uses HPO to both open and close the injector. The old 7.3 PSD used the oil to open the injector, but a spring closed it. However, in both systems, the shearing takes place in the injector chambers; it's just twice as often in the 6.0 PSD. That being said, it's true that the HEUI does certainly shear the oil down, but it doesn't drop overnight. It's somewhat progressive over time. It's definitely a concern, but I see it as just one more thing to monitor in a UOA, like the wear metals, insolubles, TBN, ect.