I'd first check externals. Test the coil for continuity on both primary and secondary circuits. Check all ignition leads have similar resistances. Test the coil lead, too.
Are you running a Pertronix? If so, try fitting some points. If you are running points, check the condenser with a capacitance meter, or swap in a known good one.
Unhook the fuel feed line from the carb. With a friend cranking the motor, watch to see if it spurts a healthy gush of fuel into a glass jar held carefully under the fuel line.
If you have a "known good" carb from a running car (one you have seen and heard run that day), swap it in to try.
Cam timing must be done with the head off, balancer pulled and a degree wheel. Many rebuilders are on a budget and can't afford to spend the time doing this. Many cams are incorrectly ground and we can't afford not to do it! Reassemble with #1 at TDC firing stroke. This will tell you how far off the balancer is; re-mark if needed.
Somewhere in all this, is likely your solution. Hopefully, one of the more simple fixes.