Ticketing/Case System with the ability to limit queues?

We tried looking into built-in ticketing systems in LabTech and Spiceworks, but neither meet our requirements. Anyone recommend a helpdesk software that as the ability to limit an admin/staff member to a specific queue?

Goal: Include Tech Support and Web Requests under one ticketing system, but Web people must be restricted to Web Group Tickets which Tech Support will assign.

I have a few reccomendations that may work, but we need to narrow it down to three, then two, then begin testing one next week.

• OTRS (Open, unsure about support and coding)

• osTicket (Same as above)

• Redmine (This is for bug tracking?)

• Jira (It also looks more like bug tracking)

• Helpdesk Pilot (Looks nice, but pretty expensive)

• Ilient/SysAid (Looks good and doesn't look too expensive)

• vTiger (CRM, it might work, but the company uses Salesforce)

• Salesforce (We have it, why not use it right? not sure if it will meet our needs though.)

• Request Tracker (Highly recommended)

I'm open to any other suggestions as long as they are not ridiculously expensive. >_> I'm looking at you ConnectWise.

Edit: Crossed out Jira and Redmine, added RT.

RT, Ilient/SysAid, and Salesforce will make the cut, but I want to present 4 options sometime this week.

Let me know if any of you have had any experience with OTRS, osTicket, or vTiger.