Edel Thornton and Vinnie O'Keefe have won Basketball Ireland's Player and Coach of the Month awards.
Linda Djougang and Kathryn Dane will be involved with the Irish panel again this year after making their international debuts in 2019.
Murphy's clubmates Caron Ryan and Thomas Lupton also won medals at the National Cross-Country Championships in Dunboyne.
An 82-68 victory in the Sports Hall at the weekend leaves Trinity tied for first place in the National League Division 1.
A much-changed Trinity side lost out 34-20 to the hosts on a bitter afternoon at Lakelands Park.
Janice O'Gorman, Adelais Farnell-Sharp and Dave Woods made the podium in Cardiff for DUTC.
The Collingwood Cup will take place over three days in February and will be hosted by Trinity.
DUHAC's Sorcha McAllister was part of the Irish under-23 contigent that placed second in the cross country event.
Despite a resurgence in the second half, DUFC were unable to reverse their losing streak against a rugged Clontarf side.
Sarah Kenny and coach Vinnie O'Keefe scooped prizes in the November accolades.