The likely culprit for your settings not displaying is the A/C Auto Amp, which is a separate box attached to the back of the display. It's unlikely the AV Unit is responsible since your other display and radio functions work. The Auto Amp has its own fuse, #8 in the cabin fusebox, so make sure that's good. If the Auto Amp is bad or offline, it's possible that's causing the blower to run all the time, so I'd address that before assuming the VBC (resistor) is bad.
If the VBC is bad, don't sweat the number of fins on the replacement. Different manufacturers use different heat sinks, but it won't affect operation. Your existing one doesn't appear to be OE, so someone probably changed it one or more times already. When they melt short-circuit it's almost always because the blower motor is sucking too much startup current, so if that's the case, you should replace both the motor and VBC.
If the VBC is bad, don't sweat the number of fins on the replacement. Different manufacturers use different heat sinks, but it won't affect operation. Your existing one doesn't appear to be OE, so someone probably changed it one or more times already. When they melt short-circuit it's almost always because the blower motor is sucking too much startup current, so if that's the case, you should replace both the motor and VBC.