By virtue of traveling to many farms as part of my work, and having had first-time experience with the farms/breeders/stallions mentioned here (apart from Rashad Nefuso RSI) and many more in Texas, I can personally recommend several SE breeders and/or their stallions (for whatever my personal recommendation is worth! lol) in North and Central Texas:
Jerel Kerby of Dogwood Springs in Hughes Springs, Texas, is a very nice fellow who seems to go out of his way to try to help others in the business. I don't know if he still stands a SE stallion, but he does have some very nice mares and foals that are definitely worth visiting, along with Jerel.
Cheryl and Karl Balmer in Crockett, Texas, stand two of Carol Rice's straight Egyptian stallions. One is a son of the late, great Anaza El Farid and the other is a son of the imported *Simeon Sachi.
*Mishaal HP (by Ansata Sinan) stands at Arabians LTD in Waco, not far from Ft. Worth. There are some other nice stallions there too. It is, of course, the home of Thee Desperado.
Someone has already mentioned Lyday Farm at Honey Grove, not far from you. Everything I know about the Fernandez crew tells me they are good, honest people to deal with, and they have some very interesting young stallions.
I believe Mauri Chase of Chase Arabians is still up at Aubrey, Texas - not far from Ft. Worth at all, and she knows what she's doing, having produced international champions.
Wayne and Keitha Adams in Mabank, Texas stand one of the few Ansata Sinan sons in the country, and they also have the only son of *El Khaled (Ansata Sinan x Shahirs Abriel) in this country. I know their horses better than I know them, but they seem very nice.
Longtime breeders Sue Burnham of Hope Farm and Tom Patterson and Mike Albertini of Blu Farm Egyptians are in south Arkansas - not that far from Ft. Worth, and they stand some very well-bred Ansata/Gleannloch/Imperial-bred stallions. Sue, Tom, and Mike are extremely knowledgeable horsemen and breeders and would be a great source of honest, unbiased advice about breeding stallions for your mare. They also have known most of the SE breeders of the last several decades.
For more good, honest, experienced and unbiased advice regarding stallions that might cross well with your mare, you should definitely pay a visit to Kehilan Arabians just outside Fort Worth, Texas. They don't stand their stallions to outside mares, but Becky and Janice are a wealth of information about Egyptian horses as they have known many of even the oldest SE families first-hand and even had *Sultann for his last several years.
There are tons of really well-bred SE stallions with experienced, knowledgeable and honest owners in south Texas, should you decide to branch out in your search.
Carol Maginn of Bear Creek Ranch in Lockhart stands a variety of top quality SE stallions - some of them here for a limited time from overseas. Marilyn Lang of Fantasia Arabians is in Sealy, Texas - again, nice stallions, and Marilyn is a great source of honest advice and experience with SE horses. Susan Glibert of Summerlan Arabians in Magnolia, Texas, has a very promising looking young Iimperial Al Kamar son at stud. There are many more down south. If you need names, just ask.
I would agree that Jadoube Ibn Laheeb is a handsome, well-conformed, and athletic *Al Lahab son, and he is in Tennessee. i know both his owner, Debra Geiser, and the people at Rakis Arabians, where he stands at stud, to be honest, experienced, and well respected. I believe they do live cover, though you would need to ship your mare to Tennessee.
Whoever you ultimately decide to deal with, I would encourage you to do your homework and check breeding contracts very carefully. Good luck to you in finding the proper mate for your mare!