The 6BN7 is fairly close, and has a mu of 28 - don't know if that is enough though. Any idea how much more gain you need? You might get away with something in the 30-40 range, in which case there are many more options among the single as well as dual triodes - as long as you are willing to add a socket. Maybe a 5842 if you are feeling sporty... anyhow, one of the frame-grid VHF triodes might be good.
Of course, the 12AT7 operating point IS well established for this application... :^)
The shunt reg can be segregated to a single tube as well, possibly an EL-84 or 6V6/6AQ5, triode wired. Those pentodes aren't rated for enough voltage, but a zener between plate and screen will make them triodes with better longevity.