There are already lots of tools that allow for blind screening and mostly blind interviews. These are options baked into existing tooling like Greenhouse and Pinpoint.
That said, you can't conduct hiring without bias. It sounds like you want tech to magically wave away bias, but it is not capable of that. Instead, you must recognize bias and acknowledge and then work hard to overcome it.
Greenhouse.io has a couple features they talk about: https://support.greenhouse.io/hc/en-us/articles/360004923452...
But Pinpointhq.com is more full-featured in this regard: https://www.pinpointhq.com/insights/blind-hiring-how-to/
If you really want the best bang for your buck, I think your best be finding a way to incentivize HR manager at large companies to help switch them to blind interviewing.