I don’t think CovOps cloaks are a good idea for Blops.
As Black Ops battleships, like bombers, have no targeting delay after decloaking it would be very scary to allow them to warp around cloaked.
With quick reactions it is possible to get away from most cloaky ships when they uncloak next to you, but not with a good bomber pilot. But at least a bomber has a paper-thin tank, so you have a chance to get away.
Other cloaky hunters may have better survivability than a bomber, but they all have a significant targeting delay after decloaking that allows a wary player to warp off.
Now allow battleships to warp cloaked and tackle ships without targeting delay (with sensor boosters) and it’s going to be really hard to get away from cloaky ganks.
I do like your other idea: I support either giving the Nestor a black ops jump drive, or allow it to be taken on a Conduit jump.