We do not have a hotel block, here are some near Spartan Recreation Center:
Comfort Inn & Suites Seattle North
13700 Aurora Ave N, Seattle, WA 98133
14817 Aurora Ave N, Shoreline, WA 98133
Courtyard Seattle Northgate (recommended)
10733 Meridian Ave N, Seattle, WA 98133
Hotel Nexus Seattle (recommended)
2140 N Northgate Way, Seattle, WA 98133
AirB&B and VRBO are also readily available around the area.