From Ancestry a list of the arrivals at the Port of New York between 1880-1890 Surname: Bily shows 60 arrivals. See link:
Dear Mr. Biley,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located Passenger Lists, 1817 - 1897 (M237) of vessels arriving at the Port of New York in the Records of the U.S. Customs Service (Record Group 36) that may include the lists of ships arriving for the dates you seek. For more information about these records, please contact the National Archives at New York (RE-NY) at email@example.com.
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We suggest that you review NARA’s Resources for Genealogists, as well as the History Hub Blog titled Suggestions and Advice for Family History Researchers. Also, the FamilySearch Research wiki for Montana Genealogy, New York Emigration and Immigration, and Canadian Genealogy (specifically Homestead Records of Western Canada) may be useful.
For records documenting settlers to Canada, we suggest you contact the Library and Archives of Canada, 395 Wellington Street, Ottawa, ON K1A 0N4, Canada.
We hope this is helpful. Best of luck with your family research!