Sorry, I'm a bit confused.
You suggested you're paying off student loans while also saving. Which one are you focusing on?
As a lifelong student of personal finance, I suggest figuring out what you want to do ... use the money to pay off loans? Or use the money to invest / house hack / buy a property?
When you figure out what you want to focus on, do it!!
Regarding how to save your cash for a short duration (1 yr), I'd strongly suggest not investing it in the market (even ETF's, bonds, etc). The interest/capital gains you stand to earn is negligible, and you may end up risking your hard earned money if there is a downturn etc.
[If you have 30 years to invest, that's a different story for a different forum.]
Keep the money you are saving in a savings account and when it builds to the amount you need it to be - use it.
Also, remember, using the resources on BP, you can figure out how to buy a house with little or no money out of pocket!!! That way can you can pay off your loans and buy a house, that's the optimal outcome, right? :)