Congratulations on your achievements.
If you like TAMU and Houston as safeties, you don’t need more. UT Dallas would be a safety, and also a full ride (assuming you are NMF) but doesn’t have Chem E.
Seconding Questbridge, here is the info: QuestBridge | National College Match
QB is an involved application and due at the end of September, so it’s best to complete it in the summer.
I do think you should cull the list a bit, whether you do QB or not. You will have many essays to write and if you want to do a good job on them you should cut down on the number and start this summer.
Good luck.