Here are your parts
Replacement parts for Kenmore 11088752796 | AppliancePartsPros.comIf you go to the Sears parts site they have actual parts breakdown diagrams.
Unfortunately they like to keep these in house.
The unit is actually a Whirlpool.
See the attachment for the wiring diagram.
The main thermostat AP2975271 is on the heater. It has an internal heater so has 4 leads.
The thermal cut-off AP3919267 is on the back plate.
The hi-limit AP3020170 is also on the back plate.
If the cut-off is blown, see the following.
Check the heating coil.
Unplug the unit and both wires to the coil.
Check it with a meter, should be around 13 to 20 ohms.
Then check from each side of the coil to the case/frame, both should be infinite ohms (open). If not the coil may have sagged or broken and is touching the case. This can cause it to run on high and the thermostats cannot regulate it so the thermal cut-off blows.
The hi-limit should have regulated the temperature so the fuse did not blow.
Note: That unless there is another problem in the unit the hi-limit should never have to open. It is just a safety device with the fuse being a backup safety device.
Just in case it is not a grounded element.
With all the below the high limit will also have to be replaced.
Check that the belt is OK.
Check the seals (drum etc) in the unit. The air is pulled over the heating coils, through the drum and pushed out the exhaust. So any large seal leak will pull in room air and the cycling thermostat on the blower will run the unit hot.
Check that the lint filter is not coated with fabric softener residue which greatly reduces air flow.
Check/clean your vent system.
Check/clean the blower wheel.
If all OK you may want to replace the cycling thermostat as it's contacts may not be opening (welded shut)