Take the flying, whether or not you will be able to study. At the end of summer you will have a couple of hundred additional hours. Do the ATPL theory afterwards.
End result: ATPL theory *and* a few or several hundred hours.
The alternative: ATPL theory a few months earlier but without the hours. Just like every other fresh ink CPL being spewed out of flying schools, month after month. In those few extra months they'll all be there with their close-to-minimum-hours. And so will you!