I've had 6 or 7 12 yard loads of driveway material and fill dirt hauled up my asphalt driveway with no ill effects at all, even where they backed off the edge to dump. Don't have a clue how much that may be in tons, but it seems to me that one of the haulers mentioned 36,000 pounds. Of course, I am afflicted with CRS. Just depends on how the driveway is done I suppose. This one was done very professionally, with a bunch of base and then a bunch of asphalt, and all done with the appropriate crown and drainage. Thank goodness the previous owner got to pay for it instead of me as it's about 1/2 mile long. Must have been quite a chunk of change.
Don't think you'll have to worry about the tractor as they're really not too much as PSI goes.