Yes, both Lucidchart and EDraw Max offer a Free Trial.
Lucidchart is designed for Individuals, Large Enterprises, Medium Business and Small Business.
EDraw Max is designed for and Small Business.
Pricing for Lucidchart Starts at $0 whereas for EDraw Max Starts at $99/Year.
Some top alternatives to Lucidchart includes Miro, FigJam, SmartDraw, Gliffy, Microsoft Visio, Creately, EDraw Max, DrawSQL, Quick Diagram, diagrams.net, Lucidscale and HackerDraw.
Some top alternatives to EDraw Max includes Miro, FigJam, MindManager, SmartDraw, Gliffy, Microsoft Visio, Creately, Lucidchart, DrawSQL, Quick Diagram, diagrams.net and yEd Graph Editor.