Yes, both Basecamp and Timeneye offer a Free Trial.
Basecamp is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Timeneye is designed for Large Enterprises, Medium Business and Small Business.
Pricing for Basecamp Starts at $15/user/month when monthly whereas for Timeneye Starts at $6/User/Month when Billed Yearly.
Some top alternatives to Basecamp includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Jira, Trello, Wrike, TeamGantt, monday.com, Asana, Teamwork, ProjectManager.com, Quick Base, Project.co and Notion.
Some top alternatives to Timeneye includes Timely, TimeTracker App, Toggl Track, Hubstaff, Timesheets.com, TrackingTime, Clockify, Tick, TimeTrack and Timesheet.