Just a couple thoughts.
@the blur
Here is what we use on 5/8" anchor chain when we cannot pass a shackle through the link either by the hook or the pin. We have a small gauge loop of Spectra that we pull through and choke on the chain link then make our connection to that loop via shackle or choking another piece of line depending on our application.
Similar to this photo. I can get a better photo on Monday if you want to see better what I mean. The Spectra is super strong, won't chafe, mar or scratch the chrome or paint, is soft, stows easy and can be coupled with shackles, thimbles or choked with other lines.
Would be perfect for what you are trying to achieve without having to change out tow hooks. This is the local company, just down the road from my house and work, that we use for all hardware, lines, braiding and towing applications.
https://www.ropeinc.com/