Hello!
I have 10 years experience within a large online marketing firm offering social media growth services and would be happy to offer my services for your account. I am well versed in both paid and organic growth and have a thorough appreciation for the legwork that is required to grow an account.
You mentioned that you have a blog, so I'm assuming you are looking to promote that via Instagram. First off, Instagram has moved heavily towards engagement rather than total followers, so the number at the top of the page means nothing unless a nice chunk of those people are seeing/engaging with your contact on a semi regular basis.
In your case I would target accounts on Instagram that have a significant following in related fields(For instance, other travel bloggers, travel agencies, etc). Then we can target the people who are following those accounts since your content would be similar to content they already engage with. We can try other methods of course, but that would be a big one.
Then we have to start engaging with them to make sure your posts consistently show up in their feeds. This will serve two purposes. 1: We get engagement from our own followers and 2: As more of our followers engage the more likely Instagram is to suggest your posts to their followers via the "explore" tab of Instagram.
That's all the room I have for a proposal, so feel free to message me to discuss in more detail (tactics, compensation, etc).
Looking forward to hearing from you!