This is what WIKI says about the types,
The number of species is disputed between different authors, particularly in North America where between one and three species are accepted.
* Sapindus delavayi (China, India)
* Sapindus detergens (syn. var. Soapnut, Ritha)
* Sapindus drummondii (syn. S. saponaria var. drummondii) Western Soapberry (southwestern United States, Mexico)
* Sapindus emarginatus Vahl (Southern Asia)
* Sapindus marginatus - Florida Soapberry (Florida to South Carolina); included in S. saponaria by some authors.
* Sapindus mukorossi Gaertn. - Chinese Soapberry (Southern China west to the Himalayas)
* Sapindus oahuensis Hillebr. ex Radlk. - Lonomea (Kaua?i and O?ahu, Hawaii)
* Sapindus rarak DC. (Southeast Asia)
* Sapindus saponaria L. - Wingleaf Soapberry (southeastern United States, Caribbean, island of Hawai?i, Central and South America)
* Sapindus tomentosus (China)
* Sapindus trifoliatus L. - South India Soapnut or Three-leaf Soapberry (Southern India, Pakistan)
* Sapindus vitiensis A.Gray (American Samoa, Samoa, Fiji)[11]
Now I figure the one for the southwestern and mexico would require a a desert / dry type environment, but the * Sapindus marginatus - Florida Soapberry (Florida to South Carolina) may be able to be grown in south eastern texas. Then again you may be able to grown the other ones here also. Here is an article on the Florida type
http://edis.ifas.ufl.edu/st582 Note that it says the seeds are poisonous but does not say how long before they fruit. Possibly, if you had two trees, after a few years you could give up having to buy most laundry detergent.
Doing more research, the Sapindus drummondii (syn. S. saponaria var. drummondii) Western Soapberry appears to grow in Tx and La. I am going to do more research and see what I can find. The idea of a hypoallergenic soap I can grow is appealing.