i dont think a term will cause any tuning problems or instability at all. a floyd rose term might be a little trick to tune, but it has one of the best stability when properly set up
personally, i prefer a gibson. i might be biased cause most of my guitar "heros" a long time ago used gibsons and i was eyeing a LP for a very very long time.
if you have no preference, i suggest u try both out. both body shapes are pretty different, not to mention tone and neck sizes too.
i was actually contemplating getting a PRS instead, but i knew that i would always want a gibson, so my choice was pretty simple.
good luck with your search!