Two all-steel construction 16" radials recommended by their manufacturers for commercial trailer service are:
Michelin XPS Rib (Load Range E)
Goodyear G614 RST (Load Range G)
Please note that, even though the manufacturers recommend these tires for commercial trailer service, they both are available in the common LT235/85R-16 size, so the LT designation is not necessarily a disqualifier for trailer service - it gets a little cloudy in the 16" tire size.
I've used both of these tires on our previous and current 5th wheels and have experienced no problems with either.
2016 Ram Longhorn 3500 Dually 4x4 CCLB, 385/900 Cummins, Aisin AS69RC, 4.10
2014.5 DRV Mobile Suites 38RSSA #6972
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