Which RTX 5070 Ti model would you pick for cooling and low noise?

I'd start with independent reviews that test the exact models, preferably using the same setup. Cooler temperatures alone don't tell the whole story. A card can run cooler simply because its fans are louder, so look at noise and temperatures together.

Also check card dimensions and clearance in your case before deciding. Without comparable test results, I wouldn't call one of these the clear cooling winner.

The TUF is worth considering if the thermal interface material matters to you. ASUS cards have been reported to use PTM, a phase-change material, but check the specifications or a teardown for the exact 5070 Ti model before treating that as a deciding factor. Don't assume the MSI uses it too.

I'd put warranty and support into the decision as well as the cooler. There are concerns about Gigabyte customer support, though that doesn't establish how reliable this particular card is or how every claim will go.

Check the warranty terms and retailer return policy where you're buying. If the prices are close, that could be a reasonable tiebreaker.

The MSI Gaming Trio has some positive owner feedback, but that's not enough to rank its noise, VRM or reliability against the other two. I'd consider it a candidate rather than a proven winner, then compare actual measurements and price.