Air carrier Captain reported weather radar failed during climb. Flight crew returned to the departure airport.

Narrative

On my fourth leg in this aircraft today; during climb out while heading southwest to fly an end run around the first line on thunderstorms; our Weather RADAR failed. We searched QRH for any additional advice but there was none. With my previous avionics repair experience; I knew we were not going to be able to solve this issue; and applicable MELs restrict flight in the vicinity of thunderstorms. We expanded our team to include ACARS to Dispatch and Maintenance; who advised us to return to ZZZ as well as burn fuel to prevent an overweight landing and land before the weather reached ZZZ at 54 knots. I had a perfectly flyable aircraft with too much fuel so did not feel the need to declare an emergency; and with the heavy workload of planning the diversion plus the needed fuel burn; I delegated cabin and passenger communications to my First Officer (FO). We descended and extended flaps; then landing gear while flying approximately 200 KIAS on the STAR and slower on the approach. ATC assisted greatly with vectors although three runway changes certainly complicated this process and greatly added to our workload. We landed under our maximum landing weight and I spent approximately thirty minutes after landing discussing what we saw along with troubleshooting attempts.Cause: Failure of WX RADAR antenna or/or receiver on the fourth flight of the day after passing the ground check and optional integrity check on the ground and working from the ground to approximately 20 minutes after departure.Suggestions: There were no QRH procedures to assist in dealing with this issue. No troubleshooting ideas or even a note saying don't fly in vicinity of thunderstorms. If I didn't have the previous experience; I may not know that this is a failure that requires us to get back on the ground before encountering the weather. ATC vectors were helpful; but would not have kept us clear of the storms; fortunately; we were able to advise and be turned away. Finally; while discussing the events with maintenance; dispatch; passengers; and the duty pilot; I did not need 7 phone calls from the company demanding to tell me I was now time available as I was even past that period before I finished with Maintenance and the duty pilot. Please give the duty pilot the ability to mark us notified for the big stuff so we can deal with the really big stuff.