Yes, both Zoho BugTracker and DoneDone offer a Free Trial.
Zoho BugTracker is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
DoneDone is designed for Large Enterprises, Medium Business and Small Business.
The starting price of DoneDone begins at $4/User/Month when Billed Yearly, while pricing details for Zoho BugTracker are unavailable.
Some top alternatives to Zoho BugTracker includes Jira, Zoho Projects, FogBugz, The Bug Squasher, Sentry, ReportBugz, zipBoard, BugHost, Bug-Track.com and Disbug.
Some top alternatives to DoneDone includes Backlog, Teamwork Desk, Issuetrak, HelpDesk, Snappy, TestRail, Bug-Track.com, Disbug, TaskSift and Crash Catch.