88 Accord LX shutting off after warming up
 

I just bought an 88 Accord LX and once it reaches running temperature
it either starts misfiring severely then stalls or just straight up
stalls. When it dies it's instant, like it just stopped receiving spark
and then it will not start at all unless I let it sit for like an hour.
When the car starts it's instant and idles at about 2200rpm then goes
down to 880rpm in a bit and runs perfectly for a good 5-10 minutes that
is. Only other thing is after it warms up smoke rises up from under the
header intermittenly in large amounts, goes away sometimes if I turn
the A/C on.
Thanks a lot for the help, this is my only car right now so I'm
hitching rides to work and the sooner I figure it out the better.

My thoughts:
Bad igniter or ignition coil
Carb rebuild needed
Choke problem
Main Relay