My advice is to bring enough to deal with a top up plus 1 more litre/quart, and do your trip.
I'm assuming you are asking because you are thinking about the time you have between this moment and when you have to leave on your trip. Otherwise I don't see why you would not do the change before you leave if it's a concern.
The advice to "run her" and change afterward is assuming that the truck is currently running as normal, and your regular OCI's have shown no issues in the past, and that you drive in a reasonable manner ... no excessive speed, no heavy loads, no lugging. Just nice easy highway driving.
If you much prefer the oil you are currently using, you can always carry an oil change's worth of oil and a new filter, and do the change at some point along your trip when you have a spare hour or so (may as well poke around and do an overall conditions and fluid check while you're there).
Don't forget to carry the tools necessary to do the change with you, like a filter wrench, which you probably don't carry as part of your regular in-truck tool kit.
Or, if you prefer to have someone else do the oil change, and if you are making the trip and expect to see people you know and trust, maybe they could recommend a decent shop that would do the change for you with supplied oil and filter. It's all about what kind of time you have and how busy you will be along the way.
Last time I dealt with this (1200 miles each way) I did the change myself, while around half way through the trip, and done this way because I wanted to check out the truck overall after some miles were put on it, and for peace of mind for the trip back. All was well, and I am glad I did it that way.
But an issue did develop that I had not anticipated (thus my advice about carrying oil and filter), and that was because there was a change in climate between my home and the destination, I could not buy the oil I usually use there (no Mobil1 0W-40 in sight ... OW-20 or 5W-whatever only).
But, the short answer is, I would not hesitate to do the trip and change afterward. I don't think you have to worry about any issues as far as that goes.