Does GZ34 and GZ37 are the same?
According to the Tube Substitution Handbook the following tubes can be substituted for each other.
GZ34, 5AR4, 52KU, U54, GZ37, and U54.
5AR4 shows the following are also compatible, U77, 5U4GB, 5AS4, 5AU4 and 5V3A
There is also an antique tube, the CV378 (British) which is excellent. I have a couple of them myself.
Last, if you want something cheap but decent there is a Chinese rectifier called 5C3PJ that subs perfectly. I bought some on line for $3.00 each a couple of years ago.
Have fun experimenting, you never know what will sound best until you experiment.