"where people come from, and which page gets accessed most often" - I get this info from the server stats with something like awstats or analog stats (sometimes webalizer),
no google scripts, no extra javascript at 1.6k or less - much lighter, more privacy, faster.
Are these server side stats things not an option with your hosting? (they come included on some of my hosts, had to be wrangled to get one a freebsd host we run with)