The RIPE NCC dnsmon (http://dnsmon.ripe.net) has collected such data for all root servers from dozens of places for about two years already. You are welcome to the raw data. NB: The further back in time the more work it will be for us to dig out raw data.
Differences to your set-up: - most probes are not near the "edges" of the net, for most definitions of "edge" - probing times are properly randomised - the mean probing interval is 60s - UDP only [Continuous but not scientifically rigorous examination of the data shows that your bet is a pretty safe one. In other words: for practical purposes routing is stable at all proble locations. So the data is in fact pretty boring. If it weren't as boring, k.root-servers.net would not be anycast the way it is.] Daniel