N-channel jfet fixed bias with high gain = 200
The forward-transconductance of the JFET defines how many amps flow through the drain for each volt you input to the gate. The 2N3819 it has a typical value of about 4000 but, according to the Fairchild data sheet this can be as low as 2000 or as high as 6500.

Using the 4000 figure, this translates to 4000 uA/volt or 4mA per volt. If you bias your amplifier appropriately for quiescent dc conditions and you apply a small input voltage to the gate of (say) 0.1V p-p, the drain current will move up and down by +0.2mA and -0.2mA from its nominal quiescent dc value. Because your circuit shows a 10k drain resistor, this current modulation converts to a voltage of 2Vp-p hence you have a gain of about 20.

But you see a gain of 30 and this means the transconductance is closer to the top figure of 6500.

Supposing you made the 10k drain resistor 100kohm - this would translate to a voltage gain of 200. This sounds OK but will it work at 1MHz? The answer is "no" because, the jfet has parasitic capacitances that will severely take advantage of such a high value resistor in the drain. The 2N3819 is quoted as having a reverse transfer capacitance (on the Fairchild data sheet) of 4pF and this will cause the amplifier to have a 3dB point at about 400kHz.

But, running the JFET at these extremes is really difficult in terms of board layout and interfacing. Imagine connecting your oscilloscope to the output - immediately you have added a few more pF and suddenly your bandwidth is 200kHz. However, this isn't the end of the story....

Output Conductance is quoted at 50 micro-siemens and when translated to output resistance this is 20k ohm. Here's another limiting factor - no point going much above 20k in the drain because the inherent slope of the drain voltage versus drain current is 20k ohms.

I'd like to see what simulation results predict for the 100k drain resistor - I'm just doing some simple math on numbers from a data sheet and there may well be other factors I haven't considered. I normally simulate so I'm a bit rusty on this type of exercise.

BF513 has a low capacitance of 0.3pF and a Gm of 7000 so maybe this is a better choice BUT... it has an output conductance of 90 uSiemen or 11k ohms.

You have to interface the output to a circuit that will add a "load". The load will likely hurt the circuit performance above 100kHz but the biggest problem I think you face is finding a JFET with an output conductance of less than 5 uSiemen (equiv. to 200kohm)