I recently stood up GP in my company following the same general setup you have.
We do certificate based authentication for everything (Internal and External portals).
We are always on
Use internal host detection
Use an internal gateway (but don't force interal traffic through the gateway)
Certificate base authentication to internal and external GWs (This allows for no user interaction to connect)
We have an internal PKI which signs our GW/Portal certs and issues machine certs
We have no issues with user connecting at home or in the office. If your users aren't even connecting it sounds like you have somethign wrong if authentication.
If they're connecting to the external GW when they're internal it sounds like you have a timer issue.
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