I don't think the thermistor is somehow involved in the problem as you described it.
More likely the problem is that the motor or the heater or both of them draw more current than it suppose to. You have to measure it with the heater On and Off. The max reading for the wet heating element alone should be no more than 7 amps. You also can look for the ratings at the name plate. Post the results.
...I checked the heater element and I had ohm readings of 57 to 95...
...Using my multimeter, the readings were again up to over 50 on my meter...
Can you describe step by step how did you do these tests please?
Also by the Ohm's law, increasing resistance with the same voltage will lead the current in the circuit to decrease (E=I*R). That means that the higher heater resistance would not cause the thermal fuse to blow.