I thnk your attitude towards the relationship might be flawed. Putting yourself out there includes offering something to a relationship, an investment or a sacrifice. Im not sure how friendship/intimacy compromises integrity, unless your partner is a tribal warlord or a malicious Ponzi scheme operator. I think its possible that you mean by integrity is actually the vulnerability involved in seeking a relationship, not to mention the vulnerability of committing to one. You gotta get a little out of your comfort zone to get funky. Source: my roommate snuck a handle of Tito’s in through campus security.integrity is not something I'm willing to trade for a company of another person.
I used to think that in order to be appreciated, I have to go out of my way to be someone else — someone other people want to see in me. I thought I had to be funny, clever, helpful, non-offensive, doing well academically, never saying "no" to anyone... I'm not saying I need not change or grow. I'm not saying I don't need to be open with people. I'm also not saying I want to leech off my relationships and provide nothing. I'm saying I'm no longer comfortable with pretending to be someone I'm not. There's a list of things I can give someone in a relationship. If they like me for what I am and I enjoy their company, we might have a good time. Otherwise, I'd rather invest work into making or improving something.