I'm not familiar with that type of organization other than what I can research online in 2 minutes. You should ask your organization's head office, CEO, board of directors, or attorney. (And, even if the organization is allowed to accept tax-exempt donations, they may not want YOU signing the receipts, depending on their organizational structure and internal policies.)
Generally, your organization must be listed here https://www.irs.gov/charities-non-profits/tax-exempt-organization-search
Publication 557 says this about your type of organization
"Donations by an individual to a domestic fraternal beneficiary society or a domestic fraternal society operating under the lodge system are deductible as charitable contributions only if used exclusively for religious, charitable, scientific, literary, or educational purposes or for the prevention of cruelty to children or animals. "
https://www.irs.gov/publications/p557#en_US_201901_publink1000200338
As I am not an expert, that sounds like donations may be exempt if used directly for a charitable purpose but may not be exempt if used for the organization's general operating expenses. So depending on exactly how the fundraiser proceeds will be spent, they might only be partly deductible.
But this is really a question for the head office, treasurer, CFO, or attorney.
