When I was finishing college TEDS was my first choice. Unfortunately, in my carnal state, I was too "California" and afraid of the weather (both snow and humidity). What a wuss! If I were planning to attend seminary now, it would probably be PRTS or Greenville. BTW, accreditation is a slippery eel. PRTS and GPTS are both part of ARTS, not a regional accrediting agency let alone one affiliated with the ATS (the standard accrediting organization for theological schools in the U.S.).
Does that matter? Only if you want to pursue a teaching career where accreditation is essential. And, in the case of PRTS, GPTS, and Whitefield, Reformed denominations have variously accepted their degrees as allowing one to sit for ordination examination.
So, Trinity would give you more vocational flexibility in the future (ATS accredited as well as regionally = geen light for further graduate work requiring a masters). My guess is that you could begin the kinds of doctoral programs that you would be interested in from any of the three without much difficulty. In the theological world there is accredited and unaccredited but credible. None of those three are diploma mills and they consistently rank highly in the estimation of those who complete their programs.
However, please hear this one plea from an old guy who regrets attending a "caffeteria" seminary in his youth.
Places like Trinity cater to a multiplicity of "perspectives" from various points of view. In my experience (admittedly at Fuller), such an approach breeds such "tolerance" for different points of view that it actually leads to a paralysis of analysis in forming your own theological commitments. You will likely emerge from seminary knowing the Bible, theology, and Church History LESS WELL than if you selected a solid Reformed (e.g., GPTS, PRTS, WS-Cal), arminian (e.g., Asbury), or dispensational school (e.g., Dallas or Masters). In fact, some of the sharpest pastor-theologians I have ever met were trained at either Westminster OR Dallas!
