Hi, Matt!
Right now, there isn't a way to display those automation custom buttons on the right-click menu from the card front. I'm sorry about that.
However, if you could expand on how your workflow creates a good use case for this functionality, I could create a public JAC request on your behalf. If more users find it a good idea and vote for it, it could get prioritized by our product team for the next changes to Trello.
Let me know what you think of that, and if you have any question, feel free to ask!
Oh, and if you want to read more on the New Features Policy, here's the link to that - https://confluence.atlassian.com/support/implementation-of-new-features-policy-201294576.html
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