Mark,
Sorry this does not answer your question directly about Colt's involvement at BHCC, but in my research of William Connellan I found an August 7, 1916 newspaper article that links him to BHCC.
"William Connellan, one time greenkeeper of Garden City, Wykagyl and Seaview, who gave up his post at a private club so that he would be free to undertake all the jobs that were being offered him throughout the country, has gone to Detroit, where he will overhaul the putting greens and fairways of the Bloomfield Hills Country Club. In the metropolitan district Connellan has charge of the reconstruction work at Canoe Brook and also of the new course near Garden City. This latter is to be ready for seed by August 15, although the work of leveling out and the building of bunkers and tees was only begun on June 20."
In my opinion Connellan was a key person in early American course construction and greenkeeping. I have established that he built for Flynn, Ross, Travis, and Wilfrid Reid whom he partnered with to build and remodel many golf courses in Michigan through the 1920's and 1930's. He also consulted with turf issues after Alison remodeled Country Club of Detroit. So there was a connection with Alison there.
The greens at BHCC bare some resemblance, in terms of contour and drainage routing, to other greens in the region where we may say for certain that Connellan worked. One wonders if Connellan did more than just build. Did he design contours within greens?