Dealing with rejection or non-responsiveness from influencers during the outreach phase can be challenging, but there are several best practices that can improve your odds:

1. Persistency: Often, influencers are simply busy or may miss your initial message. Don’t be afraid to follow up if you don’t receive a response within a reasonable time.

2. Provide Value: Make sure your pitch is beneficial to them. Are you offering a good incentive for their participation? Ensure that you clearly highlight the benefit for the influencer from the beginning.

3. Personalized Outreach: Avoid generic messages. Tailor each outreach message based on the influencer’s content, audience and their interests which should be in alignment with your brand.

4. Opt for Micro-Influencers: Unlike top-tier influencers, Micro-influencers tend to be more responsive and have a unique and engaged audience which could prove equally beneficial.

5. Consider Timing: Avoid reaching out to influencers during their peak busy times, such as major holidays or events.

Platforms like Flinque can help simplify this process by offering advanced influencer search features and additionally, development of personalized outreach strategies based on specific project needs. It’s important to note that success largely depends on the needs and execution strategy of the team.

Other platforms may have similar features as well, but the effectiveness really lies in the way each platform is used to meet specific targets and needs. Ultimately, the choice of platform and approach depends on the specific outreach goals and resources available to the team.