I did a North Pacific crossing to SFO of all places, with TCAS inop. Checked all the regs at the time and there was no reason not to dispatch.
However, common sense dictates that you inform everyone along the way. That's what I did, including on first contact with SFO. That way they won't instruct a low level sidestep or position you too close to other traffic.
Still ended up with a little less sleep in the bunk though!