Get a second opinion on the wheels.
10 year old tires used frequently would probably be marginal in tread even if the carcass is solid. (Michelin says up to 10 years and probably has a built a buffer zone into that public statement.)
10 year old tires used seldom probably are a greater risk for a blow out.
At least change out your Steer tires for the upcoming trip.
Get a competitive quote. Most all the tire brands are satisfactory. Most discussions on quality are of the Chevy/Ford debate basis.
Toyo tires worked for me for 6 years.
1995 CC Magna #5280
C8.3L 300hp Cummins, 31,000lbs