Claim and stake ANC borrow incentives automatically. Or alternatively, create a clickbox option when borrowing UST to autostake ANC rewards.
This seems like a miniscule change but human nature gravitates towards the path of least friction. Instead of requiring an extra transaction to stake ANC, the default state would be reversed. Each participant earning ANC borrow incentives would then need to actively decide against governance staking (thus against earning further staking rewards). There is ample evidence on human decision making to conclude that most users will choose to keep their ANC rewards staked in this scenario.
I believe this small change, combined with the recent proposal to enable liquid governance staking, if implemented (see “Suggestion: Short-term Enhancements for Anchor Protocol”) would reduce ANC sell pressure and lock more ANC in governance.