Yes, both Vertask and osTicket offer a Free Trial.
Vertask is designed for Large Enterprises, Medium Business and Small Business.
osTicket is designed for Individuals, Large Enterprises, Medium Business and Small Business.
Pricing for Vertask Starts at $5/Month whereas for osTicket Starts at $9/User/Month.
Some top alternatives to Vertask includes Freshservice, ManageEngine ServiceDesk Plus, SolarWinds Service Desk, Jira Service Desk, Teamwork Desk, HelpDesk, osTicket, TOPdesk, ReadyDesk, HESK, BoldDesk and Richdesk.
Some top alternatives to osTicket includes Zoho Desk, Zendesk Support, ManageEngine ServiceDesk Plus, Freshservice, Jira Service Desk, Freshdesk, HelpDesk, SysAid, UVdesk, Jitbit Helpdesk, eStreamDesk, ReadyDesk, Spiceworks Help Desk, HESK, BoldDesk and GLPI.