Where'd your NHAc come from, and what size ring are you forming?
If you can introduce N as an azide or NHCbz instead of NAc, you can triflate the alcohol and then simply reduce the resulting azide (or Bn carbamate), and the amine snaps shut on the triflate to give the corresponding cyclic secondary amine (TsO, MsO etc. are probably not reactive enough - but this will depend on ring size, and they can be encouraged thermally). Once the ring is formed you can just acetylate the N. I've used this strategy many times and have made piperidines, pyrrolidines as well as small bicyclic systems e.g. [2,2,1], [3,2,1], [3,3,0]. If your ring size is 7+ this may not work so well though.