covering the bases
Others have mentioned it but you may or may not have a carb prob
at this point if I were in your shoes I would go back and cover all the basics with some quick and dirty checks. Once went through something similar and in the end I pulled the head and found anti freeze in the bore (67 spitfire)!
So check spark, and check plugs actually spark
check plug wires in the right order
you already did timing but check the rotor pos carefully---if I remember correct the rotor points to the #4 spark plug just before the no 1 plug post
Check the distrib is not 180 degrees out
do a compression check and follow on with a leak down test if you find anything there
check that it is not a choke problem by putting your hand over the carb and finness the amount of air you let in and try this while slowly accelerating
Try pouring a little gas in the carb while slowly accelerating and see if it seems to do any better
any suspected ignition prob run a jumper wire straight to the pos side of the coil
and last but not least not knowing whats been done make sure valve timing is correct as well as ignition
pull the plugs and look at them (google spark plug reading or color chart) are they wet? black and sooty? oily? tan?
The engine can bog too lean as well as too rich so when you open the throttle plate it dies (fuel/air mixture as with a vacuum leak or choke not working while engine is cold)
make sure the choke is open a little or open it all the way and just use your hand (watch for backfires)
check and double check for vacuum leaks
It may not seem like it could be that easy just doing quick and dirty checks but all of these have worked for me at some time or at least put me into the right system in order to start some serious troubleshooting
if the carb is truly bad for sure and I either didnt know how or didnt have time I would buy the orig carb and send it to fj40jim and have him rebuild it--it will be right when you bolt it on for sure
You are right to be cautious with mechanics, you know the drill---they will do the checks and then start changing parts and emptying your wallet---"Oh really? so the starter, battery, voltage regulator, and alternator all went bad at the same time?----and you replaced that wire?"
Best of Luck with it and hang in there, it can get bad but then again you are learning so much that will help you some time or the other right?