if the broil element will not come on when selected but does come on during bake then the control board has gone bad. this is what controls all of the oven functions. you could test if you wish with a volt meter by removing the backguard. you then trace the wires up from the broil element and test for 240 across the terminals with the broil cycle selected. the part can be found at www.sears.com. the part number is XXX-XX-XXXXXXX the price is $58.46
Are you certain about the control board being only $58. When I checked it was over $300
Part for KENMORE ELITE, Model # XXXXX
$58.46 In stock
the clock itself is 200
Okay, I must have been looking at the entire control panal
when an element shorts out like that they usually short out the control board and in most ovens that is the clock. in this model you have a control board and the clock.