I have a stock chevy 350 of which i just installed a edlebrock intake and edlebrock 600 w/electric choke runs good but has delay on initial acceleration after it catches up takes off really well idles well just stutters on green light situation (delayed reaction)

Fuel pressure, filter debris, fuel volume, carb not adjusted

Go with the standard Rochester with the electric choke. Some people go with a Holley 600 with the electric choke.

If you are sure you have normal coolant flow thru the radiator, the only thing you mentioned that might be different is the manifold. Its possible you don't have all of the water jacket outlets matching the passages in the intake for cross flow.

This is a complicated question. It depends on how you plan to drive the car.
A 500 cfm Holley would probably be more than enough unless you are using the car on a track.
300 cfm can probably work but may not give you much more performance than a stock Quadrajet.
Holley is the best for modifying a carb to a specific engine. You can pick the jets and other parts to your needs.
Quadrajet was stock on GM.

Actually a Holley 600 is just a little too much for a stock 305. It would be better suited for a stock 350. You might try to lean the mix down a bit and reset the float a little higher. Holleys are good about dumping excssive fuel into the cylinders thus causing pitting on the cylinder walls. It would not hurt to advance the timing a couple degress then.

Check the choke when cold. When its hot take notice that its opened. Upon starting next time when its cold look at the choke and see if its closed fully. It should be. If not push the throttle all the way open and let it retract closed. The choke should close when the engine is cold. If it does not the vacuum break is shot which should be the rear one that controls the choke. Yours may be on the front since some are but very few are made on the front

If your staying with the stock intake manifold the edelbrock wont fit unless you install a adapter plate.And i would advise you not to install it will not seal properly.I would install a edelbrock intake manifold and carburetor as a matched set.You can purchase a edelbrock carburetor and intake manifold from advance auto parts that's designed for your vehicle.

there must be something restricting the water flow. i would check the houses to make sure there are no sharp turns that dont need to be there. next i would upgrade the water pump to make up for the extra hp.
flushing the block is always a good idea too when adding hp because you never know whats inthere.

yes ground and hot
youur hot wire needs to hook into ignition circuit so it is hot with key on

Aftermarket intake, camshaft and either a good set of heads or port/polish what you have. If you go with a cam, go with more adv. duration and duration and .050. I like running a .525 lift, .230 dur. @ .050 and .292 advertised duration. Get a good set of springs and valves. This cam should get your redline around 6200. If you're using this engine on the street, I prefer the Performer RPM with a 1" spacer. This provides plenty of velocity to the heads. If you can find a set of camel hump heads, casting number 041 you'll love those or have your heads ported. I'd run a Edlebrock 1407 carb. with this set up if you're using it on the street. If you're using this engine for strip duty as well, use a single plane intake like a Victor Jr. Professional Products have a nice selection of single plane intakes for a very low price. I've bought one myself and really liked it.