Yes, both ReQtest and Backlog offer a Free Trial.
ReQtest is designed for Large Enterprises, Medium Business and Small Business.
Backlog is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for ReQtest Starts at $10/User/Month whereas for Backlog Starts at $29.16/Month when Billed Yearly.
Some top alternatives to ReQtest includes Jira, FogBugz, Backlog, TestRail, Zoho BugTracker, ReportBugz, BugHost, Bug-Track.com, Disbug and Crash Catch.
Some top alternatives to Backlog includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Jira, Wrike, TeamGantt, FogBugz, Teamwork, ProjectManager.com, Trackboard, TaskBranch, Quick Base, TestRail, Height and Project Insight.