Yes, both Backlog and Teamwork Desk offer a Free Trial.
Backlog is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Teamwork Desk is designed for Large Enterprises, Medium Business and Small Business.
Pricing for Backlog Starts at $29.16/Month when Billed Yearly whereas for Teamwork Desk Starts at $8.50/User/Month when Billed Yearly.
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.
Some top alternatives to Teamwork Desk includes Zendesk Support, Zoho Desk, Tidio Helpdesk, Freshservice, Freshdesk, Deskero, HelpDesk, SysAid, Jitbit Helpdesk, Desky, eStreamDesk, Helpspot, ReadyDesk, AzureDesk, HESK and Help Desk Premier.