No need to know what temp the solution is. The drip rate will control the reflux rate, so the faster you drip in the peracid, the harder it will reflux. Once the addition is complete, leave to stir with column on for 24 hours.
No extra heat, it will cool down not too long after the addition and will stay at room temp. So after the addition is done, leave water running in the column but dont add ice or change to cool water for nothing.
The write up Im about to release when I come back from work uses 300 grams iso in a 2L flask.
When addition complete, its quite full, but if you add the peracid over a couple of hours, its easy to control.