I have done a lot of reading upon all your answers and have now decided to try on a differential probe thingy instead.
The design is mostly stolen from what I could find on the internet's images. Since I have no illusions of my own capabilities do I in no way think or hope to get no ware near the almost 2 GHz that the original design was capable of. And I do not need so high a speed, but still funny to reach as high a frequency as possible:-)
The U1 chip is a ADA7927-1
https://www.mouser.dk/datasheet/2/609/ADA4927-1_ADA4927-2-878322.pdfEvery signal trace is 11.8 mil (0,3 mm) and the power traces is 19.8 (0,5 mm).
On each end are a BNC female plug. The board is 4 layers (Signal, ground, +5V, 5V). The ground layer do I maybe only let go under the signal part, while the other 2 layers will fill the whole board. Below the slot in the PCB do I imagine putting a part of the power supply circuit, while the transformer, the bridge and all that will be on a separate board.
To the right of the PCB have I put the BNC-out but can't find out if it's okay to run the signal GND to the GNDD layer and the main signal through a trace, it does make the impedance totally different.
Any comment, tips tricks or answers on my questions? :-)