Yes, both Zoho BugTracker and Qase offer a Free Trial.
Zoho BugTracker is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Qase is designed for Individuals, Large Enterprises, Medium Business and Small Business.
The starting price of Qase begins at $20/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 Qase includes TestRail, CloudQA, Testim, TestCaseLab, QARA Enterprise, QACoverage, TestProject, TestFairy, Automaton and QA touch.