1987 tbi hard to start when hot

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Again I come asking for help. I really appreciate the help I have received.
My 1987 350 tbi has been giving me fits for the last month or so. Anytime my truck engine is cool it fires right up. The problem comes when I drive home. I drive home 22 miles and when I get home if I want to do anything else I have to wait for the truck to cool off. If I try to start it, it acts like the battery is drained, engine drags or just turns reall slowly and never fires. If I let it cool it fires right up. Battery is less than 3 months old and shows good. Father in law says it's the coil, but before I go to throwing parts at it, I thought I'd ask you guys. Thanks for any help.