This idea is so cheap and easy, there really is no downside to this drain snake idea.

You will begin by making little diagonal cuts all along the sides of the zip tie.

You may even want to get a small pair of pliers to bend them out a little making hooks.

How To make A Drain Snake - DIY Zip Tie Drain Snake - DIY Plumbing Hacks

Image By: Camera Ray Via YouTube

Then, you will easily be able to pull out all of the debris clogging your drain.

Easy Plumbing Fix - DIY Plumbing Hacks - How To Unclog A Drain

Drain Cleaning Hacks - Zip Tie Hacks - Use A Zip Tie To Unclog A Drain