Well that blows
.
Actually, OAL might not be as useful to know here as the distance to the shoulder since that's what it head-spaces off of. Did the cartridges you unsuccessfully tried to chamber show any engraving from the lands on the bullets or abrasions anywhere else on the cases or bullets?
A quick check might just be stand some of the Remington ammo beside the Winchester and Hornady Ammo on a flat surface and see if the shoulder of the Remington cases are noticeably higher. And if you saved any of the fired cases from the Winchester and Hornady, compare to those as well since those have been fire-formed to your chamber dimensions minus a little spring back.
Not precise, but since you're handicapped for measurements, it might at least be a quick screen if there is a significant difference. Also, don't know how precise your rulers are, but you can use your calipers the old fashioned way to set the gap, then take a measurement of the gap with your ruler. You can also use that gap as a comparison to another cartridge to see if higher/shorter. If the difference is enough, you will see it. Or go buy a damn battery
As for pics can you connect your phone to a laptop via usb port or wireless to transfer the pics on the pc, then post them from the pc? If you can, posting pics of them standing beside the other cartridges would be good.
