Though I haven't strung lights on a long path, I've been playing with some other RE powered lighting situations. But first here's some links to some folks that have gone down this , er, path :
http://www.state.hi.us/dbedt/ert/pv4u/pvmauilt.html http://www.oilean-chleire.ie/energy.htm http://www.solarlighting.com/htmlsite/walkway.html
I noticed that the total cost of these projects is outside your budget, and some encompass a host of RE applications. But you can contact these people to get firsthand info. The main theme appears to be that each light is a standalone unit, requiring no trenching or wiring.
The current idea I'm toying with is solar powered LED lighting. Once again, the cost in using this "light of the future" may be prohibitive, and you may have to build the lighting units with discrete parts at this time. It takes dozens of white LEDs to produce a few hundred candlepower. However, each LED array would need a much smaller PV panel & battery, thus lowering that part of the system's cost.
-- Larry H