resistor on toaster logic board

Hi I'm hobyist that is new on the forum. In a previous life, I worked my way through college with several jobs, one of which was working in a TV repair shop. I'm not new to electronics, but just a hobbyist none the less.

My toaster stopped working properly. I took it apart and saw that a resistor on what I assume is a logic board is fried. So much so that I can't read its value (see pictures). The resistor was R3 on the board - that charred spot in the center, just below the pot. Note that I did not have to use an iron to remove the resistor. It's short appaently generated enough heat to loosten it from the board.

Not surprisingly, the resstor reads open on the 20 Megohm scale of my multimeter. I would appreciate any suggestions about how to replace this resister. I was thinking I might wire in a high resistance pot, set it at max resistance and try the circuit. Then gradually reduce the resistance of the pot until the circuit works. Yeah, I know ... dicey, but not sure what else I can do. Yes, I bought another toaster; I thought I might be able to repair this one for use in our camper  :-)

Thanks in advance, 

Mark