My experience so far -- through about 10 computers among friends and extended family -- makes me conclude that full-tower cases have better cooling potential. This of course is not the trend.
For fans, with the noise issue, this is all in the ear of the beholder. You get better cooling with proportionately more throughput in CFM. Greater throughput means more air turbulence, leading to more noise, and it also means more RPMs for the fans with a greater chance of motor-whine, bearing-noise and vibration adding to cumulative dB/A measurements.
IMHO -- find either a full-tower or midtower (better -- something in between -- a "junior" full-tower) with fittings for one or more 120mm intake fans, and at least one 120mm exhaust fan. You COULD do what I am now totally addicted to doing -- recycle a used case. Got a Dremel? Like playing with sheet-metal? Perhaps that's not for you. In that case, here's just one suggestion I've posted before:
Stacker
There are dozens of other alternatives, Lian-Li makes a good case and I think highly of their V1000 and similar models as "innovations". Some people claim the Antec Sonata is fine. But I've been "through" several midtowers, have plenty of cooling stats to compare with my vintage-full-tower mods, and unless you are doing "water-cooling", TEC or Vapo-Chill -- I encourage the use of a limited number of large fans placed strategically in cases to move copious quantities of air with lower noise levels. And some midtower cases just don't provide the room at the case front or case rear to easily accommodate one or more 120mm fans.