My team simulation (I was too lazy to sign onto capfriendly so I'm not publishing it) with no trades, Patrick at $1.1 million (1 year; performance bonuses for games played, etc., on top), and Myers at a $2.3 million bridge (2 years) allows Fletcher to be cap compliant at a 22-man roster. I also have Frost and Sandin on the roster.
Total remaining cap is only $379,440, but to me it's important that Fletcher doesn't "have" to make a move and therefore doesn't need to accept a poor deal for cap purposes.