I get similar hot streaks and usually can keep my room down to below 80 with good airflow. One of the keys is having a large exhaust fan in one window and another intake fan somewhere that creates good airflow through the room. Even when it's 110 degrees outside, my room stays below 90 (even being upstairs). If it gets worse than that, I can take my cages downstairs to my living room which is the coolest room in the house, never getting above 70 or so (only has two walls to the outside).

Other than that, just invest in a good thermostat (like a Herpstat) to keep the cage temp under control and you will be fine.