I'll also offer up that the others are right - if any of those outlets are backstabbed, those are definitely bad. Hard to tell from the pics, but I'll take your word that they are back wired and not back stabbed.
Another thing I noticed is how close those outlets are to each other and how close those live metal terminals are. Is it possible that when you increase the amperage enough, it causes a small amount of stray current on one of the terminals to arc to the other outlet? While perhaps not a safety concern, this might cause an imbalance of hot to neutral on the outlet causing the GFCI to trip.
I mention this because I once had a situation in a house where two romex runs were right next to each other in a wall. A mouse chewed JUST enough of the insulation on both wire runs that when the circuit for one wire run was shut off, I was still getting occasional live current readings on the wire that was shut off with my non-contact voltage tester. Note that the circuits weren't touching one another (and thus I didn't have a short circuit), but were just close enough to cause some stray voltage. In this case, this might be enough to cause the GFCI to trip.
Try wrapping those terminals in some electrical tape to ensure there isn't any stray current bridging that gap.
Another thing I noticed is how close those outlets are to each other and how close those live metal terminals are. Is it possible that when you increase the amperage enough, it causes a small amount of stray current on one of the terminals to arc to the other outlet? While perhaps not a safety concern, this might cause an imbalance of hot to neutral on the outlet causing the GFCI to trip.
I mention this because I once had a situation in a house where two romex runs were right next to each other in a wall. A mouse chewed JUST enough of the insulation on both wire runs that when the circuit for one wire run was shut off, I was still getting occasional live current readings on the wire that was shut off with my non-contact voltage tester. Note that the circuits weren't touching one another (and thus I didn't have a short circuit), but were just close enough to cause some stray voltage. In this case, this might be enough to cause the GFCI to trip.
Try wrapping those terminals in some electrical tape to ensure there isn't any stray current bridging that gap.