Yes, both Asana and TrackingTime offer a Free Trial.
Asana is designed for Large Enterprises, Medium Business and Small Business.
TrackingTime is designed for Freelancers, Medium Business and Small Business.
Pricing for Asana Starts at $6.92/user/month when monthly whereas for TrackingTime Starts at $4.16/User/Month when Billed Yearly.
Some top alternatives to Asana includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Jira, Basecamp, Trello, Wrike, ProofHub, monday.com, Teamwork, ProjectManager.com, Microsoft Project, Quick Base and Height.
Some top alternatives to TrackingTime includes Timely, TimeTracker App, Toggl Track, Hubstaff, Clockify, Tick, TimeTrack, Timebase, Timesheet and Tack.