starting problem

[LMREESE]

My 67 short fleet has a starting problem that has been plaguing me for years. First thing in the morning it will roll over like a champ but after the motor warms up, if you shut it off it is sluggish to start. Instead of a fast spin you get ka-runk ka-runk ka-runk like an almost dead battery. It usually starts back on the third or fourth ka-runk. If you let it set for awhile it will roll over and start fine. The engine is a 350 bored 30 over with double hump heads. I dont remember the compression ratio. I put new battery cables on with no better results. I put in a new starter a couple years ago but no help there either. Today it didn't start back till I let it set and cool down. I went and bought a new battery with 1000 cranking amps and that helped a lot but it still wont roll over as good as when the engine is completely cool. Any ideas
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