2005 F250 5.4L 3V Engine P0198 Oil Temperature Sensor Issue: Fix Without Removing Oil Pan?

I recently purchased a 2005 Ford F250 with a failing 5.4L 3-valve (3V) engine and replaced it with a new 5.4L 3V motor from Power Source Engines. Unfortunately, the replacement unit is actually a 2008 model instead of a 2005 one — while mechanically similar, there's a critical difference: my original 2005 engine had an oil temperature sensor located in the oil pan. The newer 2008 motor does not include this sensor. After installation, I began receiving a P0198 diagnostic trouble code (DTC), indicating an issue with the oil temperature sensor. Upon investigation, I found that the wires were cut and taped near the oil pan — likely due to improper wiring by the shop that performed the engine swap. Since I don’t have access to a garage (only a gravel driveway), removing the engine or replacing the oil pan is not feasible. As an HVAC technician, I’m familiar with NTC thermistors and understand how temperature resistance works. Is there a way to install a functional oil temperature sensor without removing the oil pan? Do any manufacturers offer adaptors or bypass solutions for this specific issue? I’ve considered using a resistor to simulate the sensor’s behavior at operating temperatures, but I’m unsure of the correct value. Additionally, my aftermarket 'Bully Dog' engine monitor shows an erratic reading: it spikes to 7,800°F under load and drops to around 600°F when I release the throttle — clearly indicating that the system is passing voltage directly across the cut wires rather than measuring actual temperature. The truck runs fine and drives normally, but the persistent P0198 code and incorrect oil temp readings are concerning. Any advice or recommendations on a safe, cost-effective fix would be greatly appreciated.