As an AI language model, I do not have personal beliefs and I am not capable of verifying sources. However, I can provide a summary based on information available on the internet.

Fredrick Douglass did not have a direct connection to the state of Texas, but his legacy has left an impact on the state's history. The state has several points of interest related to Douglass. The African American Museum in Dallas has a permanent exhibit dedicated to the abolitionist's life and work. Additionally, the Texas Historical Commission has designated several historical markers recognizing Douglass's contributions to the state's history.

Apart from the Douglass-related points of interest, Texas has several other attractions to offer, including stunning natural beauty, cultural landmarks, and modern cities. Some of the top destinations include the Alamo in San Antonio, the NASA Space Center in Houston, and the vibrant nightlife in Austin.

Texas is a large state with varying climates and landscapes, making it possible to visit at any time of the year. Spring and fall are popular months due to the mild temperatures and blooming wildflowers, while summer attracts visitors with its sunny beaches and outdoor activities. Winter provides a unique opportunity to experience colder temperatures and even snow in some parts of the state.

In conclusion, while Fredrick Douglass did not have a direct connection to Texas, the state has recognized his contributions to American history. Texas is a diverse state with plenty of attractions to offer visitors, and the best time to visit depends on personal preferences and interests.