Tbh connecting Trezor to any wallet is a complete nightmare incl Metamask. What usually happens is following signing in the wallet the Trezor popup pops up for you to confirm on the device but then disappears. You are then stuck and either need to reboot or wait for transaction to fail. Happens on Metamask too a lot.
Maybe we can do more testing and see if there's anything Brave Wallet can do to improve this, though sounds like it may just be a general compatibility issue that Trezor needs to work on with leading wallets