Again, without more information about this Takamine San, it's hard to say if there are popular novels. But if this is a local or emerging author, their popularity might be restricted to a certain area or community. Check with local book clubs or independent bookstores in areas related to the author (if you know where that might be) to find out about their novels.
I'm not very familiar with a specific 'Takamine San' and their novels. However, you could try looking for them in local libraries or online bookstores. Maybe search for the name on platforms like Amazon or Goodreads to see if any relevant novels pop up.
Since I don't have much information about this 'Takamine - san' light novel with 'haite kudasai', here's a general tip for finding light novels. You can use search engines and type in keywords like 'Takamine - san light novel' and see what comes up. Also, consider following light novel reviewers on social media platforms as they might be aware of such works.