I would very much recommend against this - off-the-shelf core networks are shit. Look up "SS7 vulnerabilities" on Google to see what I mean... and yeah your LTE core network would be based on that.
LTE itself is good but you'd need to build a proper core network for it - at the moment none of the off-the-shelf gear you can buy is any good.
Big disadvantage is cost - you have to run a core which is very expensive ($100k+) Or you can use BaiCells and they'll rent you use of their core for fairly cheap.