We are currently trending but not in the top 5 for the day. Can we run a small ad campaign on FB and TW? Or is that going to rank us lower?
ProductHunt does not have any algorithm to find out if you are trying to rank higher by illegal ways and they can delist you only if someone complains about it.
What you can do is, advertise your product and redirect user to your product hunt page instead of your product's website. This way you will bring more traffic to your product hunt page. And then hope they will upvote your product in turn pushing you to the top of the list.
Btw, you could have posted the link here as well and got few upvotes. Every upvote counts :)