According to Battleships of World War One by Anthony Preston the Austro-Hungarian Empire had 3 shipyards capable of building battleships, which were: the Ganz Danubis shipyard and machinery works at Fiume; Stabilimento Tecnico Triestino at Trieste; and the Pola Naval Yard. The guns were built by Skoda of Pilsen. ITTL guns, armour and fire control equipment would also be built by Ganz factories in Hungary-proper.A-H has a limited coastline, and the infrastructure to support a navy is primarily near the northern end of the Adiratic, ports further down the coast are not well supplied with infrastructure for a navy and also have limited rail capacity to bring goods in. Building the infrastructure to support a navy out of more than a port or two will add to the cost (including beefing up rail lines to bring in munitions, heavy equipment etc.). Even using the most southern ports along the A-H coast, the Adriatic is incredibly constricted. If Italy and/or Greece are hostile then the A-H navy is completely bottled up. If both are neutral, it is still relatively easy for the French or British navies to keep the A-H navy from any sort of breakout in to the Med as such. Finally once the A-H navy does break out, they are still in restricted waters and what do they do for re-supply/repair etc except go back to where they came from.
If the KuK Kriegsmarine is allied with France/Britain, they are really a third wheel. If they are fighting the MN & RN they are screwed. Submarines do make sense, though they have a tough time getting through to the more open waters. As far as large ships...why??
The main Austrian bases were Pola (also the principal dockyard) in Istria and Cattaro (Kotor) which at the time was in Dalmatia, but since 1945 has been part of Montenegro. The Anthony Preston book includes the deployment of the battleships in October 1918. The First and Second Divisions consisting of the Tegetthoff and Radetzky classes respectively were at Pola. The Third Division with the Erzherzog Karl class was at Cattaro. The older Monarch and Hapsburg classes were at Pola serving in second-line roles or not in commission.
If battleships were operating from Cattaro IOTL they could operate from there ITTL. The geography in the Adriatic worked in favour of the Austro-Hungarians. The Dalmatian Islands acted as a shield for the warships and supply ships travelling between Pola and Cattaro. Meanwhile the Regia Navale didn't have a major base between Brindisi and Venice.