Sounds to me like it's not about heat or worn axles, simply a fuel leak. I'd pop in new hi-perf (they have another material or size of the tip) fuel needle and seat. If they work properly and there's no dirt in them (do you have a good fuel filter?), fuel won't flow out anywhere regardless of how hot it gets...
A very powerful fuel pump may overcome any marginal needle and seat, so a fuel pressure regulator might be a good idea.
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