Incredible Ice in Coral Springs which is about ~30 minutes south of West Palm Beach and right off the turnpike has open skating every single weekday from 12pm to 2pm, 99% of the time only 1 or 2 people are every there and sometimes nobody is there, you'll have the entire rink to yourself.
www.incredibleice.com
Also, Glacier Ice Arena which is approximatley the same distance as Incredible Ice when coming from West Palm Beach has open skating during the week, I think it's something like 9am to 11:45pm and then 1:45pm to 4pm.
http://glaciericeandsnow.com/
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You should bring your gear and come play pickup hockey with us at Glacier on Monday's.