Would be helpful to know which Linx you were using as that would provide info on frequency and modulation.
Noise can affect your receiver by two means: 1)Directly at the RF input frequency, or 2)Through connecting wires or directly coupling via electric or magnetic field directly onto the receiver circuits at about any frequency.
1) Noise at the RF input frequency
The SAW input filter should do a good job of filtering incoming RF to the frequency band used. This reduces the possibility of the antenna picking up out-of-band signals that might swamp the receiver input.
The lower cost wireless use ASK and OOK modulation which are the most sensitive to noise at the input frequency. FM, FHSS, or DSSS modulation wireless devices are much more immune.
AC Motor noise is most likely 60 Hz power line and harmonics of 60 Hz. It is unlikely that power line harmonics are reaching up to the receive input frequency. However, if the motor is controlled by a speed controller there can be significant spurious noise up the spectrum, especially if the receiver is close to the motor.
2) Noise directly coupling into the receiver
Near the motor, there will be strong magnetic and electric fields. These fields can couple directly to the receiver IF, VCO, or demodulated output in strength to sufficiently jam the receiver. These external fields can also couple to wires you have connected to the receiver, and from there into the receiver.
A) Shield the receiver. You indicated you found some improvement from this. However, so close to the motor, an aluminum or copper shield will only block the E field. Try a ferrous metal shield (sheet steel) as well to block the possibility of magnetic coupling.
B) Filter wires connected to the receiver. Connect small bypass capacitors directly at the receiver between each wire and ground with very short leads. Try 100 pF on the more sensitive digital or analog wires, and 100 pf along with .01 uf and 1uf for the power wires. If the noise environment is really serious, you can add a series resistor of 10 to 100 ohms on digital and analog wires (depends on if the signal will tolerate the resistor).