For agentless, we do not have a solution for smart cards users, and admin account is needed. It's possible agent work for you since communication would mostly be done through certificate authentication. You would setup a Distribution Share, but you could use a non-admin account in the setup to allow file copying. And the agents would need to be installed by hand since pushing from the console require an admin account.
This may help: Agent Information and Troubleshooting
Otherwise, you request a call from a support tech and you test this out.
We use agentless and converting to use of the agent is not an option. I'm now using a service account which does not have the smart card requirement. Thanks for the clarification.
Good to hear you you still have use of service accounts, thanks for the update.