Yes, both Asana and Harvest offer a Free Trial.
Asana is designed for Large Enterprises, Medium Business and Small Business.
Harvest is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for Asana Starts at $6.92/user/month when monthly whereas for Harvest Starts at $10.80/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 Harvest includes clockodo, Timesheets.com, TrackingTime, Clockify, TimeTrack, Time Track Bill, Timesheet, Hyperlogs, Timet and Time Tracker by eBillity.