It is quite simple. AP's (as the OP described himself) shouldn't use casino credit. Whatever you are doing, whether it be card counting as I do, to machine play, or anything else, IF your play at any time arouses suspicion and or interest, it is very easy for any casino to trace you back to your casino credit information. They will easily have all your info and a nice head shot, face picture if they need it.
I am sure in times before my time, AP type players carried bricks of cash. You saw this in the MIT blackjack movie. I am only on the road limited amounts of time compared to other AP's, but I do exactly as MrV suggested. Let a national type bank hold and move your money. Easy and safe. If you are a high-end player, you may have to make arrangements with the particular branch a couple days ahead of time.
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If I am arriving somewhere during non-banking hours I may carry a single day type BR to allow for play that day or night. I have arranged for higher daily ATM amounts which would allow me to replenish enough to continue to play for a day should I immediately hit a negative run. Then you visit the bank in whatever location you are at, just as I would if at home.
The idea of carrying around bricks of cash, tens of thousands, hundreds of thousands of dollars for high-end player is way, way too much risk in the risk/reward scale.