where can i find a list of lakes in texas that only allows trolling motor use only

There might not be a list like that. I'd just look at the TPWD site for public water bodies for each lake you've got in mind.

Going to do my best here, but I have not been to most of these. These are all smaller body lakes, but I don't know what limits they have on motors.
LBJ/Caddo Grasslands
Bryson
Big Creek
Ratcliff
Bouton
Fannin
Randall
Mertzon
Lake Kimble
Welch Lake
Lake Bonham
Canton lake
Boykin Springs
Lake Hawkins
Tyler SP
Fort Boggy SP

In Oklahoma, the pumpback is trolling motor only. But that is the only "no outboard" lake I know of. I think Dripping springs is a no wake lake. All Oklahoma Wildlife department lakes are no wake (I think there speed limit is 6 MPH).

Lake Carl Etling
Lake Evan Chambers
Lake Vincent
Lake Watonga
Lake Elmer
American Horse Lake
Lake Vanderwork
Lake Hall
Lake Burtschi
Lake Dahlgren
Lake Jap Beaver
Lake Nanih Waiya
Lake Ozzie Cobb
Lake Schooler
Lake Raymond Gary

Citizen's list is a good one for small, off the beaten path lakes that are great for the yak. But even then, I'm pretty sure there are only a few even on that list that actually have restrictions like you're talking about. For example, there are only a few within the LBJ/Caddo grasslands that have any kind of motor restrictions, in spite of what people may think. They're just hard to launch a big boat at. I'm pretty sure that LadyBird in Austin does not allow outboards of any kind, and no doubt there are others, but we're not talking about a long list here. Many state parks are no wake, but that's it. Heck, the lake at Daingerfield State Park is only 80 acres, but according to its page on TPWD you can launch a boat up to 65 feet on it and I'm pretty sure it's not even no wake.

Again, I think your best bet is to find a lake and look it up on either TPWD or possibly the local city/town website.

Here's the complete list from TPWD.

Most community fishing lakes do not allow gasoline engines. Some do, and some have 5 mph speed limits.

A good rule of thumb is if it's within a city park they don't allow gas engines.

thanks for the help guys can always count on this site for any info a person needs