Is the major expense in chipping and moving the debris off the island?
Leaving the chips would make a good ground cover.
"Firewood" sold at roadside stands is often dried pine wood such as what you have: it burns readily, and gives off a satisfying ambiance for weekend campers. Sawing burnable pieces to that size could provide firewood for a neighborly campfire—when permitted.
Some could be retained on the island as straight logs for a rustic enclosure—say, for enclosing the neighbors' boats or garbage cans?
Quote:
Originally Posted by Piston
Standing dead timber is good for wildlife. Standing dead timber next to your house or dock is not good for obvious reasons. 
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1) I've got a few dead trees standing close to structures, but I'm not too concerned.

Most dead trees start their eventual fall starting at the top. When the lowest part falls, it is shorter, not particularly heavy, and has less height to inflict damage.
I've been watching one dead tree out front for eight
years. I just tied it loosely to a healthy tree to limit the radius of its fall—
should it drop over-winter. (Our steep lot blocks strong winds the rest of the year.)
2) The cutting of trees affects the wind-resistance of its "neighbor trees". It is well known that wind can "take-out" some others—as my abutter discovered.

Notice the freshly-cut stumps in my photo.
The two healthy pines "spared" in this photo were shortly uprooted by winds and fell in opposite directions. (These were two of
dozens that fell as a direct result of "planned-trimming".)
Your neighbor may want consideration in these decisions!