Assuming your goal is to get the most range, so to get the most RF power out into the antenna.. it's most practical to do it empirically. Make up a little matching circuit, with a small inductor 10 - 20 nH range, and a trimmer cap, maybe 20pF. Then try different topologies of an L-matching circuit. The inductor would be in series with the antenna and the trimmer would go to ground on either side of the inductor. You might need to try different inductors. The end point is measuring the signal strength on the receiver that is at least a few wavelengths away, or a spectrum analyser, etc.
If you have the schematic diagram, you could build a harmonic balance model, but unless you have access to ADS or Microwave Office, that's not an option.
Why? Many of the cheap SAW modules are just an oscillator. Its output impedance is not well defined. It may actually be something weird, and one typically doesn't impedance match an oscillator output, because that may load it so much that it stops oscillating. If the transmitter has a little amplifier stage, it's the same story actually. An RF PA output impedance, even if it's tiny, is something very small and "weird". So one doesn't technically match the impedance of the amplifier. You provide a load to the amp (collector or drain) that produces the desired power output. The term to look up is "load pull", which is how you find the performance of a PA for different loads. I mean gain, output power, efficiency, for different load impedances. Then you chose the load impedance that produces your desired performance goal, and then design a matching circuit that transforms your antenna impedance (or 50 ohms), to the desired load impedance. Load pull is just a fancy way to empirically tune the output and observe the performance. Far too expensive for this use case.
Actually, if you want more range, it's probably easier to just add a small RF amplifier stage - as long as its output power is within the legal limits in your area.