I live in Maun and we have had a lot of rain and the roads are bad at the moment. They should, however, be fine by June as it ordinarily has dried out quite a bit by then. These rains are normal and good for us at this time of year. Rain or not, make sure you're in a 4 x 4. Tar roads all way into Maun - quite bad pot holes on the Nata - Maun road, but otherwise pretty good.
I drive a Merc 350MLsuv with high (air) lift suspension. Very powerful vehicle with 300mm road clearance.No diff lock no low range. We will be visiting Moremi and Makgadigadi in July pulling an off road caravan. Will this be a problem?