Suicide-related behavior (SRB) is a mental health disparity experienced by the alternative sexuality community. We assessed mental health, relationship orientation, marginalized identities (i.e., sexual orientation minority, gender minority, racial minority, ethnic minority, and lower education), and preferences in information processing (PIP) as factors differentiating lifetime SRB groups. An online cross-sectional survey study was conducted in 2018. Members of the National Coalition for Sexual Freedom (NCSF; n = 334) took part. Bivariate analyses identified the following SRB risk factors: female and transgender/gender non-binary identity, sexual orientation minority identity, lower education, suicide attempt/death exposure, Need for Affect (NFA) Avoidance, depression, and anxiety. Monogamous relationship orientation was a protective factor. Multi-nomial regression revealed the following: (1) monogamous relationship orientation was a protective factor for suicidal ideation and attempt; (2) lower education was a risk factor for suicide attempt; (3) anxiety was a risk factor for suicide attempt; and (4) depression was a risk factor for suicidal ideation. A two-way interaction showed that elevated NFA Approach buffered the negative impacts of depression. Relationship orientation, several marginalized identities (i.e., based on gender, sexual orientation, and educational level), and PIP all contributed uniquely to SRB. Further study is necessary to understand the role of relationship orientation with suicide. Health education and suicide prevention efforts with NCSF should be tailored to account for marginalized identity, mental health, and NFA factors.