It depends on the depth. Foot deep is not anywhere near deep enough to cause problems.
Or give much fun....
Usually the front end will get water in it first, due to the open knuckles. The seals in the tubes are not all that good at keeping stuff out.
Of course, the spindle bearing seals are not great either, so they will get wet, and past them, water will get into the wheel bearings.
My old Jeep had the sealed knuckles with 90W gear lube, so they usually stayed fairly dry as did the wheel bearings.
But my '79 F150 suffered from lots of water in the wheel bearings and spindle bearings.
But, I bought one of those spindle greaser adapters, and it made a huge difference.
I expected it to help with the spindle bearings, and it did. But it made the biggest difference with keeping water out of the wheel bearings.
Basically, you removed the hub, screwed the adapter onto the spindle tube, and started pumping.
Took a lot of grease the first time.
It filled the space between the axle stub and the spindle with grease, and forced it out through the spindle bearings.
Not only did that repack the spindle bearings with fresh grease, but the grease in the spindle tube sealed it and prevented water from coming in through the spindle bearing seal and running down into the hub and from there into the wheel bearings.
As far as your situation, you need to pick a go/nogo point as to depth. With my old Jeep, it was my navel as I sat in the driver's seat.
When the water reached my navel, I had a decision to make. If it was going to get deeper, I better back out.
If I could see shallower water, I could ease forward. I knew that somewhere between my navel and my nipples the water would go in the top of the carb, so I always stopped at the navel.
At night, I usually stopped when my headlights went under and it got too dark to see the water in front.
That was below maximum daylight depth, but safer. However, if I had someone with me, I had a calibrated pole.
They could lay on the hood, and probe the depth ahead of the Jeep as we went.
Today, with my electronics training, and the equipment available now, I would have a electronic depth finder with a floating sensor mounted in front to give a readout as I went.