ShippingEasy Orders can get 200 orders at a time, but needs a little more time to do so.
ShippingEasy Settings let you change your defaults from 50 orders per request, to 200. In doing so, you may need to increase the Timeouts used by ShippingEasy Connect.
Set ShippingEasy Timeouts to 60 (seconds to connect) and 60 (seconds to process). This will avoid Curl Error 28, telling you the defaults of 5 and 7 are not quite enough.