Yes you can use Uphold instead of Gemini. Normally I convert it to XRP ledger network which has really low network fees and then transfer / cash them out.
But do that only if your region is listed at
Otherwise if you disconnect then you won’t be able to connect to Uphold neither Gemini.
At the moment it’s not possible and even if we get to store BAT in brave wallet, there we will always have to connect a custodial Partner to be able to withdraw out of Brave.