Hi Ally,
Thanks for posting this -- I think you've hit on the million dollar question here. I'm actually in a very similar position as you, and I'm always interested to hear what people think. I also live in SoCal and have a chunk of savings I'd like to invest in RE (albeit a little less than you have), but also have student loans (~$12k @ 4.75%).
I think the advice here is all great; I can't responsibly argue against paying down 6% debt. However, I would like to play devil's advocate. I think it's common to have a negative view around personal debt and to want to pay it "as fast as possible," but it really all depends on your investment options and their corresponding risk-adjusted returns.
Someone mentioned it already, but regardless of which direction you take, I think priority #1 should be to refinance your student loan debt for a lower interest rate. I had loans from the government at over 6%, and refinanced with SoFi to consolidate them at a lower rate. There are several ways and lender options to refinance, so feel free to reach out if you'd like to discuss. The downside is you lose protections that go along with government loans (such as forbearance), but I was willing to take that risk given my perceived job security, income, and relatively low balance.
Now, if you're able to refinance at, say, 4.75-5% or lower like I was, then I do think it becomes interesting: the real question becomes, you have a guaranteed return of 4.75-5% when paying off your student loans. Can you earn a higher risk-adjusted return elsewhere, whether that's in the stock market or via real estate? If so, how much higher?
I'm currently grappling with the same thing. I can use my savings to be completely debt free, earning 4.75% on that money. Or I can invest it. I'm currently earning 6% YTD on my money in the stock market, so I'm sure it's a worse risk-adjusted return. But could I earn a return in RE that's materially higher than 4.75%? For me, given the amount of hard work and risk involved in RE (especially for a newbie) relative to simply clicking a "pay" button for a 4.75% return, materially better would mean around 10-15% ROI. That's what we need to figure out. If we can, then IMO, it makes more sense to make the minimum student loan payments and invest our remaining capital.