"Have you tried command-option-E (as I mentioned earlier)...the traditional way to empty Safari's cache?"

Yes. When one puts Develop into the Safari menu bar in 10.9, Develop's "Empty Caches" is given as option-command-E.

I used "Empty Caches", quit Safari, and then winged it by deleting com.apple.Safari from Caches in my user Library. I "seem" to have eliminated my time-outs with Safari. I've been in and out of my broker website (that prompted all my time-outs) a lot during the past 12 hours, getting info for doing my income taxes. No time-outs.

I don't know which of the two apparently did the job.