DCole,
I would say your chances at PTS full funding are slim to nil. They are actively moving away from merit based funding and more towards need-based, which caps around 80% of tuition. However, the tuition is already quite affordable coupled with cheap student housing. For example, Emory housing averages about $500-650 more a month than PTS seminary housing.
Candler and Vanderbilt both typically have great funding. I would imagine your chances at 100% tuition are greatest with those two. However, Atlanta is very expensive near Emory. All things considered (tuition + housing), VDS would cost about $6,000 less than CDS even with full rides to both schools. So, not all full rides are created equal despite comparable tuition rates.
I can't speak to Yale. My guess would be that of all your schools it would be the hardest to gain admittance. If you do, they certainly do offer more merit based financial aid packages than PTS but tuition is higher than PTS but housing is comparable.
I have a spread sheet I can send you with all the costs and an aid calculator of those schools--I'm applying similarly. Just PM me.