Pulled the Mess that was my Timing Chain....

Dodge72 said

Warmed the car up, took about four minutes. The second it starts to drop to warm idle, it struggles and then it's a slippery slope from there. Got some gas and sprayed it in the carb when warm , sure enough, I kept her alive for another moment before choking itself out.

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When you say 'warm idle', what do you mean? Are you running it on the high idle cam from the choke at first?

Back to basics: fuel filter, fuel pump, 'vapor lock'. The hissing you heard from your carb could be fuel boiling off the bottom of the intake that's been squirted by the accel pump as you're trying to pedal it to keep it running. It could be fuel boiling in the carb for some reason. It could be an engine gnome taunting you... Do you smell fuel near the carb once it shuts itself off? If so, fuel may be boiling off.

Start with the easy stuff: fuel filter. Pull it and maybe run some gas backwards through it, into a drain pan, and see if you get rust or crud. If you have a mechanical pump, disconnect it from your carb and run it into a container and crank the engine to see if you get (clean) fuel flow.

After that, look for evidence of too-high a temperature near the carb. What's your coolant temp when it dies? Can you hold your hand against the intake near the carb base (heat-wise) after it dies? If it's too hot, or your carb is screaming hot, it could help to explain what's going on. Anything else out of the ordinary can help indicate what's wrong and causing your issue. Be observant! :D