Load rating of the tire should be higher than the rear axle gross weight rating divided by two since you have two tires per axle. The rear GVWR is on the driver side door sticker and it is based on the max load that you can put on the rear axle.
For example, my Nismo rear GVWR is 1942 lbs. A Nitto NT05R in a 305 width and 18" diameter is rated for 1929 lbs. That is more than enough capacity. After all they are d.o.t.compliant drag radials made for heavier cars than the Z. You will be fine.
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