No specific suggestion, but be absolutely sure whatever you rent has air conditioning throughout, not just in a random room or two. Puglia gets very hot in the summer and could easily be consistently hot every day of your stay. Here are the actual, historical, day-by-day temperatures in Monopoli this last July; there were 27 days at 90F or higher.
Weather in Monopoli - July 2023
Weather varies considerably from year to year, so use the pull-down box at the right, just above the graph, to see others months/years.
Edited to add: I've been to Puglia in the summer and do not recommend going then. The heat is oppressive. I imagine you're driving, and having access to an air-conditioned car will help, but...