Toyota Tacoma with TRD package / e-locker. Toyota FJ Cruiser. Jeep Wrangler Rubicon.
Need I go on, or have you had enough?
It's so lovely that you didn't even read the thread. OP said his price is 25k max and you're suggesting a vehicle that far surpasses that. Toyota.com lists the price of a Tacoma 4x4 with 4 doors and a 5 speed automatic with the TRD package as $31,960
If price is no issue, I think the OP should buy a helicopter.
just note that the first video was made by a subaru dealership...
It still applies though. They put the front tires on a surface with no traction (like fluid snow or ice) and the back tires did absolutely nothing. That pretty much eliminates the whole point of having AWD if the back wheels
need traction on the front wheels.
Also, the behavior of the throttle and braking systems in that video is very similar to how my car behaves when the traction control is on. Rather than equalizing power and trying to push through snow, it cuts power to both wheels to ensure that I get stuck. Fucking Toyota ripped me off.
Probably the best driving behavior I've seen was my friend's Chevy Blazer. It had no traction control, but it had a limited slip differential that may or may not lock. It'll spin both the back tires as fast as you want them to spin, and that sucker never got stuck.