You need a Von Arx concrete scrabbler (google it) i have 2 of them for taking the old limestone off flat roofs. Iff you do buy then check the Carbide tips arnt too worn on the circular flails as they work out about £8 each and theres millions of them
Due to having a very wet garage for the last 10 & 1/2 years , in Dec 2014 I had a builder construct an inner skin out of 3 " concrete insulation blocks on the three walls of the garage and also got him to put on a new Kingspan 150 mm insulated roof . Once the initial drying out had occurred ( 4 weeks approx ) it's been bone dry inside .
Could your excess moisture be like mine from excessive condensation and weather creeping in through the outer skin , around & under the door ?
OK I effectively lost a foot across the garage and six inches off the arsend but it's worked like a dream . If I want the uneven floor screeding in 50 mm of quality fine screed he advised me to use Finnegan's concrete sealer first to seal the floor and not to get the screeding done till the seal had been down for at least two weeks .
His total cost for the inner skin with a 3 inch cavity and several dozen stainess steel screw in wall ties , new roof with all new 3 x 6 beams plus a new treated wooden frame for the up & over door was £ 2,800 including a 4 cubic metre skip hire that I had for six weeks plus the sand & cement .
I also glued & stapled then used strips of plastic & screws to fit some new rain deflector strip to the wooden door frame on the inside. Ensuring that they were tucked under the uprights at the floor level so it deflects rain away out of the garage & also fitted a new riveted on rain strip across the whole of the up & over door bottom edge . I have also used a pump up killer spray type thing to spray the outside walls of the garage with a single coat of Finnegan's concrete sealer as it is supposed to be effective on walls as a type of vertical damp course for around ten years .
To over come the lost space problem I got him to set four joist hangers in the new walling @ 6 foot 6 inches from the floor and three foor six apart and put two 3x6 joists across them then fit & screw down a 19 mm thick marine ply sheet on top to make an eight by four foot shelf that has a small lip either side of the joists that I can if needed clamp things on . The shelf is now filled with timbers, metal work and garden tools etc etc that took up even more space when they were stood around the old walls .