Yes, both DoneDone and Planio offer a Free Trial.
DoneDone is designed for Large Enterprises, Medium Business and Small Business.
Planio is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for DoneDone Starts at $4/User/Month when Billed Yearly whereas for Planio Starts at $25/Month.
Some top alternatives to DoneDone includes Backlog, Teamwork Desk, Issuetrak, HelpDesk, Snappy, TestRail, Bug-Track.com, Disbug, TaskSift and Crash Catch.
Some top alternatives to Planio includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Jira, Wrike, FogBugz, Teamwork, ProjectManager.com, Backlog, Quick Base, Redmine X, Height, Ravetree, RedmineUP and Project Insight.