Which has a better success rate with infection: apecectomy or to re treat root canal?

I have a crowned tooth (tooth #19) that is infected. The crown is 8 yrs old. Would it be better to have the tooth extracted or have a root canal?

I am in a bind, as I do not have dental insurance at the moment, and I've got an infection in my mouth from a broken filling or fractured tooth. The dentist insists I have a root canal, but that is financially impossible right now, since he wants payment in full with the completion of the work - and I don't have the money. I am taking amoxicillin to kill the infection. Could I wait till I have a new job and insurance to get the root canal, or would an extraction be cheaper right now? I'm a 44 y