The account already stops producing resources after a short time (2 days I believe) of inactivity

I recommend that after 30 days of inactivity, an account is archived. The account data would be stored on a separate system, and a banner goes across the characters profile in the game, that says Archived. There would be no options to send a trade/gift, no visiting the island, etc.
Doing this, I believe would reduce on the stress and the lag of the server.

If and/or when the person logs back into the game after their account has been archived, on the loading screen, it would say

Removing account data from Archives. Please Wait.


If I am wrong about archiving accounts reducing lag and/or stress on the server, please let me know, because I think this would be a solid idea.