Most small RF microstrip uses 1/2oz copper, meaning that weight of copper spread out over 1 sq ft. area. The 1 oz. option and thicker is always available, and more. You can have it very thick if you like.
The microstrip impedance model has the thickness as a factor, but it is a very small effect unless you are using edge-coupled features, coplanar WG or other bits that involve close approaches.
For me, as example a 0.508mm (20mil) board has 17.5micron (0.68mil) thick copper at the start.
After the vias are plated 25um, the side-effect is the microstrip tracks are thicker 42.5um (1.67mil).
Be aware that if the thing you are making has resonant parts, they can run a huge circulating current.
Consider adhesion. If you are getting into combiners and splitters and power amplifiers using low-loss substrates, they may have a temperature let-go specification.
Over time, have come across several on-line aids to help this issue. Some are better than others. Many are devoted to FR4 and the switch-mode power supply industry.
Here is a typical example --> LINK **broken link removed**
A Google-style search will yield more..