Well here are some steps I would take.
1. When the cycle starts the gas valve should make a click and gas should flow.
2. The ignitor should start to buzz. Sounds like a mad bumplebee.
3. You can look at the ignitor light and it will indicate if it is activated. Find the schematic and see if the voltage to activate the ignitor is present. I can send you the manual if you need it.
So if you have spark and gas you should get some flame.
On my speed queens I find that the flame box overtemp and the fan air outlet overtemps go bad often. Try changing these and see what happens. They all contribute to an overtemp circuit that will not let flame happen so this could be a good place to start. You should see 120 volts coming out of the last overtemp button. Again see schematic.
Any questions call me or email me
identakid@yahoo.com 801 637 2764
Darren Larsen