^ Well, it's up to you to explain why they don't do just do that. There are several ways where you can make a starship strike not suitable. However, you might not want to make it so. Given this is a test for Khan it would be very risky to send him on a mission where he could fail and the Klingons continue their project or betray and escape. Having a ship positioned to drop in and blow it up on the drop of a hat seems like a prudent backup.
On a general note, this really reminds me of what ENT did with the Augments in season...4?
Rush Limborg wrote:
Do warp-capable ships leave vapor trails...?
Probably means warp trails. We often heard of people tracking warp trails and distinguishing warp signatures to specific operators.