It's all too easy to give armchair advice -- but I do hope there will be further searches. My own view is that, in addition to whatever government efforts may or may not be funded, the Canadian government, as well as the territorial government of Nunavut, could and should do more to promote searches. The permitting process, under CLEY, should be streamlined in every way possible. A number of promising avenues, such as that proposed by Ron Carlson and discussed on this blog, were turned down due to technicalities, most often the absence of a government-credentialled archaeologist. So why not make such archaeologists available? In Carlson's case, he brought -- and essentially donated to the effort -- his own plane and imaging equipment; why not, instead of simply crassly denying him a permit, the territorial government helped find and place a qualified archaeologist to work with him? The cost to the Nunavut and Canada would be minimal, many times less than that of any of the state-sponsored efforts of these last three years. Another bone I have to pick is that I cannot understand why, given his work over many years on the Franklin mystery, David C. Woodman, has not been invited to participate in any of these recent searches. I believe it's unfair, and wrongheaded, to exclude the one person who knows the Inuit testimony better than any man living.
Lastly, I would observe this: in many human endeavors, it's been found that "crowd sourcing" -- the open and free participation of many in tackling a task -- is by far the most efficient way to solve many problems. If (say) the National Archives at Kew, the Maritime Museum at Greenwich, the Arctic Institute of North America, The Scott Polar Research Institute, Parks Canada, and the National Library of Canada got together, put all their resources on one wiki, including high-res imagery of every document and artifact, and a wiki-editable tag map of the search area, I'd wager that enormous progress could be made. Six very expensive days of federally-funded searching are all well and good, but in my experience, historical puzzles of this level of complexity require many voices -- experts and amateurs, Qalluunat and Inuit, historians and archivists, archaeologists and pilots -- the more voices the better.
(Image of the Muster book of HMS "Erebus" courtesy David Malcolm Shein, from the original at the National Archives, Kew)