For starters, a 12BH7 might sub a 12AU7 pretty well, if the circuit can support the additional filament current, but its not a sub at all for a 12AT7!
The difference in mu is significant with any tube. The circuit has to be optimized to take advantage of the tube's characteristics. You might be able to get the circuit to work with a tube of the same pin base, but that's not the same as the circuit working correctly.
If I were you, I'd stick to 12AT7s (also 6201 and ECC81). There are so many different brands- and you're far more likely to find what you're looking for. But keep in mind that the voltage amplifier and driver might not be the issue- the match to the speaker is likely more important.
The difference in mu is significant with any tube. The circuit has to be optimized to take advantage of the tube's characteristics. You might be able to get the circuit to work with a tube of the same pin base, but that's not the same as the circuit working correctly.
If I were you, I'd stick to 12AT7s (also 6201 and ECC81). There are so many different brands- and you're far more likely to find what you're looking for. But keep in mind that the voltage amplifier and driver might not be the issue- the match to the speaker is likely more important.