Yes, both YouTrack and Zendesk Support offer a Free Trial.
YouTrack is designed for Large Enterprises, Medium Business and Small Business.
Zendesk Support is designed for Large Enterprises, Medium Business and Small Business.
Pricing for YouTrack Starts at $4/user/month when yearly whereas for Zendesk Support Starts at $19/user/month when yearly.
Some top alternatives to YouTrack includes Quickbase , Smartsheet, ClickUp and Zoho Projects.
Some top alternatives to Zendesk Support includes Zoho Desk, Tidio Helpdesk, Deskero, Support Hub, HelpDesk, Desky, Help Scout, Salesforce Service Cloud, ReadyDesk, Sitehelpdesk, HESK and BoldDesk.