I created a list of teams that still have cap space and can do something with it. The bolded teams can take on some salary (and aren't cheap, like Ottawa). Underlined teams need to make some sort of move to clear cap. I'm sure there will be hundred problems with this list, but the market for taking cap is shrinking very quickly.
Arizona - $2 million over
St. Louis - $1.1m over plus whatever it takes to sign Vince Dunn
Anaheim - $5.8 mil in cap space with Kesler on LTIR, needing a goalie
Montreal - $353k over (could bury a contract in the minors?)
Washington - $224k over, needing a forward
Winnipeg - $5.319 million in cap with Little on LTIR (re-sign RFAs Niku, Roslovic, Harkins)
Toronto - $406k in space
Edmonton - $732k in cap space (re-sign RFA Bear)
Vegas - $1.875 million in cap space but wanting to sign Pietrangelo to a big AAV contract
Pittsburgh - $2.568 million in cap space
Minnesota - $2.7 million in cap space
Tampa Bay - $2.895 million in cap space (re-sign Cirelli, Cernak & Sergachev)
San Jose - $2.99 million in cap space
Carolina - $5.082 million in cap space (re-sign RFAs Foegele & Fleury)
Philadelphia - $5.685 million in cap space (re-sign RFAs Patrick & Myers)
Calgary - $5.7 million in cap space, needing 2 forwards, plus re-signing RFAs Mangiapane & Kylington
Chicago - $6.163 million in cap space (re-sign RFA Strome) - LTIR situation I'm not familiar with (Shaw/Seabrook)
Dallas - $6.657 million in cap space (re-sign RFA Hintz & Gurianov)
Colorado $6.797 million in cap space (re-sign RFAs Jost, Kamenev & Toews)
Vancouver - $7.948 million in cap space, needing D-men (re-sign RFAs Virtanen & Gaudette)
Islanders - $8.905 million in cap space (re-sign RFAs Barzal & Pulock)
Boston - $11.045 million in cap space (re-sign RFAs DeBrusk & Grzelcyk)
Florida - $11.563 million in cap space (re-sign RFAs Saarela & Weegar)
Los Angeles - $13.620 million in cap space, needing a forward
Columbus - $13.625 million in cap space (re-sign RFAs Dubois, Stenlund, Gavrikov, Carlsson)
Buffalo - $13.645 million in cap space (re-sign RFAs Reinhart, Pilut & Ullmark) - internal cap?
Nashville - $13.667 million in cap space, needing 2 forwards (re-sign RFA Kunin)
New Jersey - $18.345 million in cap space, needing 2 forwards + 1 defenseman (re-sign RFAs Bratt & Blackwood)
Detroit - $18.738 million in cap space (re-sign RFAs Bertuzzi, Mantha & Timashov), Zetterberg on LTIR
Rangers - $18.804 million in cap space (re-sign RFAs Strome, Lemieux, DeAngelo, Georgiev, Di Giuseppe)
Ottawa - $27.787 million in cap space, needing a forward (re-sign RFAs Brown, Tierney, Balcers, Paul) - Gaborik on LTIR - internal cap?