I know it’s a pain in the butt, but why not auto-withdraw to a single sig wallet and then send from there to your preferred self-custody arrangement? I assume for the convenience of auto-pilot “set it and forget it?” It would be cool to see more services like the one you are describing.
I am still rooting for Strike to be successful, but I had a few disappointing experiences with their customer service that have caused me to reconsider. If you end up finding a solution that works, I would definitely be interested to hear what you come up with.