All would work, I would be tempted to pick by caliber starting with the largest and would probably stop at the 45-70. The 45-70 is limited in other situations but would be about ideal for this scenario. On bear I like the ideal of a mid to larger caliber that will exit reliably just in case a blood trail is needed. I think I would lean more towards the 405 hard cast as that is what I have experience with. The FTX may be slightly softer so not certain for an exit but I have not used it and only seen two deer taken with them and it did exit.

The 35 Rem. is sort of a classic, the AR would feel out of place to me, the BLR would be like an old friend I have shot many deer and hogs with a 308 BLR. But I have had mixed results with Sierras so might choose a different bullet like a Partition or Barnes. All this is based on my personal biases.