I've had tires of various brands require little weight or lots of weight to balance them. Even at least one of my Michelin Pilot GTs needed a lot. My current Shinko Tourmaster front tire balanced EXACTLY with the weights (few) that were on from the Shinko 757 that I replaced. (Well, as exactly as I ever get.)
If you've got something you can put the axle up on and let the tire spin, see how it is. A couple of chairs work. I use jack stands, but if you're away from home, you may not have those. Put it up, give it a spin and see where it stops. Then spin it again and see. Even with 45k on my front wheel bearings, it takes a surprisingly long time to come to a stop. I do this a few times and note where the valve stem is. Also watch as it finishes spinning. If there's a heavy spot, the wheel will often go back and forth a few times before coming to a complete stop. If the valve stem stops in different places, you should be OK.