And blow-forward designs seem to work, but they do it to fast, and with out a retarding mechanism I see them continuing to do so. One way around that would be LPHV, low-pressure high volume, as the delay well the chamber fills would undoubtedly retard the firing rate, but it could also retard power.
Jack and Punkin, one thing you need to consider is the fact that your bolt only has to move a fraction of an inch, which means it’s most definitely going to have a high rate of fire do to do to the short distance things have to travel and the speed they tend to do it at.
I feel that we’re on the right track; we just took the side road that parallels the interstate of automatic fire.

I believe the key was figured out in the late 1800s to early 1900s by John M. Browning in the recoil and gas operation principles.
Recoil wouldn’t work to well in small caliber arms, gas operation, on the other hand, shouldn’t require to much, pressure ways, to make it work, just a large diameter gas cylinder or high pressure operation.
Another thing to consider is one of the many delayed blow-back mechanisms, but I’m not to thrilled with any form of blow-back.
As for the design posted by Jack, i think you’ve got something there, it basically a hammer valve, same thing I’m going to use, but the problem with hammer valves is they produce incredible ROF, I took the grip frame, and trigger group, off a paintball gun once and let it run, it went “Brrrrrruuuuuuuuup” sounded about like 1500+ RPM maybe close to 1800 RPM.
One thing you might consider is some form of gas delay mechanism that unlocks the barrel-bolt-hammer assembly once the projectile passes the gas port. That would increase power also.
That’s my 2 cents.