Love your website idea. Do you want to connect as I have some stock you may be interested in. You can find my contact details at www.tillyboutique.com.
I just went through a bit of your site and it looks great! The above mentioned ideas are great, and I hope they work for you.
But if you're still looking for ideas, have you thought about donating some of your left over products? Not only would you feel good doing it, you could use it as an opportunity to raise awareness for your brand. One example is Browns Cleaners in Ottawa. They run a non-profit organization that takes new and slightly used dresses in so that they can be donated to High school girls that can't necessarily afford a prom dress during prom season (http://goo.gl/n2FN8).
Hope it helps
It's great that you're recognizing that it's time to cut your losses and let some of your inventory go. It's a hard decision to make, but it's cash sitting on your shelves (and virtually on your site), even if you can't generate revenue from it, it can represent opportunity costs.
When thinking about new products to sell, consider diving deeply into your data to better understand which variants and options sold so you can sell all of your inventory nex time!
PS I like Isaac's recommendation. It's a great way to help others, and generate publicity around your store.
Have you considered bundling items, or making recommendations for related items? There are apps that can help you with this sort of targeted marketing within your store.
The ol' Up-Sell, and point-of-sale promotions are great ways of moving stock, and have certainly been proven in the brick-and-mortar world.
Customers may overlook your Sale items while visiting your store, however, targeted and suggested add-ons are a the perfect way to catch a customer's attention when their wallet is already open.
If you are resigned to moving this stock no matter what it takes, it can't hurt to implement a promotion with recommended, and bundled items at irresistible offers. Amazon is a prime example of using this tactic to great affect on virtually every item in their store.
Directed Edge Product Recommender is on app that offers this sort of implementation for your Shopify store.
Check it out. Might be worth a try.