You mentioned your attic has vents at the tops. it also needs soffit vents. The vents on the top will allow the hot air to escape but only if there are vents in the eaves to allow the colder air in. Think of your attic like a giant chimney and the eves as a damper. If you completely close the damper your going to have issues. Also think what would happen if you blocked the return vents for you furnace.
Attics need ventilation, otherwise the entire roof will heat up the lifespan of the shingles will be severely reduced and your way more likely to get ice damns in winter which will destroy you roof and possibly your whole house from water damage. They are required by code in most areas. Without lower vents your attic still needs to breath and will try and suck more air (humid air) out of the living space though even the smallest of openings, up the walls, etc...
Attics need ventilation, otherwise the entire roof will heat up the lifespan of the shingles will be severely reduced and your way more likely to get ice damns in winter which will destroy you roof and possibly your whole house from water damage. They are required by code in most areas. Without lower vents your attic still needs to breath and will try and suck more air (humid air) out of the living space though even the smallest of openings, up the walls, etc...