87 Caprice not starting when hot

Hey guys, I have a 1987 caprice wagon with a 305 in it. I am going to be derbying it THIS WEEKEND and I have just had this problem start a cuple days ago. I had the car sitting for a while and I started it up and drove it down to mi barn to get it ready for the derby. I let it sit for about 20 minutes and let it get warmed up. The needle was at the normal operating temperature. When I tried to start it again, It sounded like the battery was dead (turned over once slugish, then this light humming sound) So I took th e battery out and put it in my mini car (a sunbird) the thing fired upo right away with no hesitation. So what I was wondering is that it could be the starter is getting too hot. Like I said the derby is this weekend so if anyone can give me any suggestions it will help a lot. I know I am going to stall the thing at least once so I need a reliable engine lol. Thanks in advace!

I had a similar problem, but mine was carb related.

Try checking the wires going to starter for any ones that may be broke or corroded through.

Now that you mension it, The reason I got the car cheap was becaude the carb as burning too lean. Maybe that might have something to do with it? I'm going to run new aires anyways so I have a push-button start on the thing. Thanks a lot.