Realistically, the most common and accepted plot for communicating the results of a t-test 1 to others (set aside whether it is actually the most appropriate) is a bar chart of means with standard error bars. From your question setup, I gather you are after the latter type. They are implicitly trusting that you have done things correctly.
You want your plot to convey the important information about your data even to consumers like them. These are not the same for example, many viewers / readers of your plot / analysis may be statistically unsophisticated, and may not be familiar with the idea of, say, equal variance and its role in a t-test. In general, there are two different kinds of goals: you can make plots for yourself to assess the assumptions you are making and guide the data analysis process, or you can make plots to communicate a result to others. It is worth being clear on the purpose of your plot.
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