The Dodge should run without the O2 sensors connected, but it will set a code in the ECM turning on the Check Engine Light. No biggie for that short of a run. The O2 sensors really won't be doing much anyway until they get up to temp and that generally takes a mile or two of driving along with the sensor heaters operating.
For a fan, I hopped onto e-bay and picked up a Ford Taurus electric fan. They are rated at something like 4000CFM on high-speed (they are two speed motors) which is way better than any aftermarket fan I could find, and are relatively thin. They are also a LOT less expensive than anything aftermarket. I paid $60 plus shipping for a used one that looked like brand new. It keeps my Big Block Chevy cool just fine with an aluminum CJ conversion radiator.
"Free advice is worth what you pay for it."™