EEPROM to storage data

In this circuit is not provided serial connection so i need a static memory where storage data and in a second time transfer collected data to a pc. If i right understood what you said an eeprom of 512kb or 1024kb will be enought to storage data. The speed of writing on a eeprom should be enought to avoid the use of more SRAM, right? How much space will take timestamp?
With no negative values ((512*1024)/2)/250 i can storage data for 1048sec.? I want to avoid the use of an SDcard if possible, becouse it's more complicate and will require more time.