Jack here from the Shopify Guru Team,
I come bearing good news! That same calculated shipping feature offered on the advanced plan for $299 USD/month can be added to any plan tier below it for a small fee of $20/month or completely free if you choose to upgrade to our annual billing cycle. All you would need to do is contact us to enable this feature. You can do that from our support page. Alternatively, I would suggest an app like ShippingEasy or ShipStation to accomplish a smiliar result.
Let me know if you have any questions! :)
You can add the carrier calculated shipping to the basic plan with an additional $20/month as Jack has mentioned. You can get it for free if you go for annual billing.