If you are struggling to use Archard Wear Law for your parameters, you can look into other predictive tools like a DOE to aid you. However, you need data on the parameters you are evaluating to create predictions. This is not any better than Archard Wear Law, just a different way.
There are three Laws of Wear; wear increases with sliding distance, wear increases with normal load, and wear decreases as the hardness of the sliding surface increases. These build Archard Wear Law. You can use these individually for predictions, but may not yield much value, unless you build your bespoke equation for your case. Archard Wear Law can be very useful if you have data on the wear coefficient.
Archard's equation IS a good way to predict wear. However, if you are expecting this equation (in its basic form) to accurately predict the mass loss of a given material then you will probably have a hard time.
"Archard's law does not consider the hardness of both the material": Remember the equation has a dimensionless constant. This may well be a ratio of hardness values. Maybe hardness of the indenter over hardness of the worn surface? It could be a lot of things! My point is, the original equation has a dimensionless constant, and this is where you could potentially refine the original equation, adjusting it to the results you get in the lab with specific environments and materials.
"No Sliding velocity term present": This is easy to solve. Instead of using the original form of the equation which calculates the VOLUME loss, you can replace the 'sliding distance L' term in the equation with 'sliding velocity'. This will automatically calculate the RATE of volume loss.
"No Temperature term": In case temperature has a strong effect on wear, I guess the hardness term could take care of this? A strong change in temperature will probably have an effect on the hardness of the materials, though this will have to be carefully verified. Again, the dimensionless term may well accommodate a variation in temperature.
I think you get the idea of what I am trying to say. The equation is there for you to refine it if you want to. But its original form captures very well the nature of wear.