Yes, both Asana and Monitask offer a Free Trial.
Asana is designed for Large Enterprises, Medium Business and Small Business.
Monitask is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for Asana Starts at $6.92/user/month when monthly whereas for Monitask Starts at $4.99/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 Monitask includes TimeTracker App, WebWork Time Tracker, Hubstaff, Timesheets.com, TrackingTime, RemoteOne, StaffTimerApp, Clockify, TimeTrack and Timesheet.