Is there evidence in the text (such as that in Gen 7:2) that the author of the story meant to compare what transpired to what took place in the tabernacle?

This is an apt observation by Sailhamer. Consider: God gave instructions for building, even in terms of cubits as he gave to building the tabernacle; God distinguishes clean from unclean beasts; makes provision for sacrifice (later); invites Noah and his family into the ark “for thee have I seen righteous before me”; God shuts Noah in securely; it rains 40 days and 40 nights, even as the tabernacle serves as the vessel for God’s presence; and everything on earth dies, except for God’s anointed (so to speak), as a consequence of sin.