Baron 58 pilot reported complete avionics failure in IMC during cruise. Pilot regained temporary use of some avionics and continued to destination.

Narrative

A routine flight from ZZZ to ZZZ1 in the Barron B-58P I departed ZZZ at XA06 enroute to ZZZ1 on an IFR flight plan. The flight was routine to ZZZ1. I was south of ZZZ2 when ATC asked me to climb to 16000 feet which is the MEA to clear the mountains. Once i got to 16000 feet i started to clear the mountains when I heard my autopilot clicked off. I glanced at the autopilot and saw that the screen went black. A few seconds later my Garmin 750; 650 and second audio panel was also completely black. I took ahold of the airplane with the yoke and started to hand fly the airplane. I looked over at my Garmin 500TXI and it was also black. I started with the circuit breaker panel to see if anything was popped. After doing some looking I noticed that all the avionics circuit breakers were popped. I proceeded to shut down the avionics switch and pushed the circuit breakers back in and waited a few minutes before turning it back on. When I turned the avionics switch back on everything came back online for a few seconds. I am trying to transmit to ATC that I have had a complete avionics failure and was in hard IMC. I could hear ATC transmitting to other aircraft and trying to get ahold of me. I pushed the PTT switch several times to transmit and I could not get a positive readback from ATC. My 750 and 650 came back online so it gave me a chance to squawk XXXX. As soon as I squawked XXXX I made a right turn to the east. My decision was to go to ZZZ2 and not proceed into the mountains into ZZZ1 since I had no PFD. Eventually all of the circuit breaker popped again so I was flying only off of the whiskey compass and the Garmin G5 standby instrument. Once I passed over the mountain range to the east I then again reset everything while maintaining 16000 feet. I was still in IMC so I had a stratus on board that allowed me to use fore flight to get a estimated bearing to ZZZ4. Eventually everything came back online and was finally able to get back into contact with ATC. I told them that I wanted to go direct to ZZZ4 as everything seemed to be working again. I announced my intentions as clearly as fast as I could in case I lost everything again. They gave me a heading and an altitude to descend to so I proceeded to comply with their instructions. Once I got below the clouds I then was given cleared for the visual approach to XXL into ZZZ4. Once I got on the ground I called the mechanic and he gave me some ideas to test and everything seemed to be in normal operation. I did a run up on the ground. I stayed the night since it was getting late and weather was rolling in. I went back to the airplane the next day and did a second run up and reported back the information to the mechanic and everything seemed to be legal and within ops check. So I flew the airplane to ZZZ5; VFR to get looked at. The airplane was scheduled to go there for a couple tire changes and get the AC serviced. On the flight home nothing seemed out of normal procedures of the airplane during an extensive ground run and anytime in flight.