Lafayette will meet full need for any student whose family income is 200K or less. Assuming the family assets are generally commensurate with a family that has income of 200K or less. However Lafayette is need aware.
There is not much merit at Lafayette. According to most recent CDS 19% of enrolled students got an average of 19.8K on a COA price tag of $85K.
Many of the Texas colleges award in state tuition if you receive a minimum scholarship amount. Say University of Houston awarded her $1,000 scholarship she should qualify for the instate tuition price of around $26k. Houston has tons of chemical companies in the region. The scholarship policy doesn’t apply to every school such as UTA or A&M College Station. And as always check the policy still stands directly with each school.
Yes, overall to the point that @MistySteel27 made. As a minor point of clarification, when people say UTA, they are usually referring to UT-Arlington, which does have opportunities for the in-state rate with a modest scholarship. The main campus at Austin is generally just referred to as UT, and the odds of out-of-staters getting in-state rates there is extraordinarily slim.
My D18 was offered a scholarship and instate tuition there (for ballet, but it was based on academic stats). Apparently there was only one available per year for the whole college of fine arts (she turned it down for a full ride elsewhere). But the odds in that college don’t seem to be impossibly bad, with 1600 undergrads, so 400 per year of which only around 10% are OOS. Being the one OOS student selected in the school of engineering or the college of natural sciences is a very different matter though.
Quick clarification that Texas A&M does have an OOS tuition waiver if a student is awarded $4,000 in competitive scholarships from TAMU. That said, they are not commonly awarded to freshman.