The particular Basmati rice I normally use (Aldi own brand), cooks perfectly with seperate, non-sticky grains using the following method. In a large pan of cold water (3 or 4 times the volume of rice), bring rice to the boil. Reduce heat, cover, and simmer gently for 5 minutes over a low heat. Drain well, add back to the pan, cover, remove from heat and let it steam in its own residual heat for 5-10 minutes. No washing or pre-soaking is required. I tried this the other night with a different white Basmati brand (Tilda), the rice was al-dente and was still uncooked in the middle when I split it open with my thumbnail before I let it rest to steam. I simmered it in fresh boiling water for another few minutes, let it steam for 5, but by then it was overcooked. Unfortunately, I have disposed the original packet with the cooking times on it. Could I have got away with just letting it steam for 5 minutes as normal, would this have cooked the rice right through? I remember as a poor student a long time ago just bringing rice to the boil in a pan, covering, turning the heat off, and leaving it to steep until it was the right consistency. Would this method be safe provided the rice was eaten as soon as it was cooked? 
I wouldn't take the risk of messing around with the temperatures to be honest. Rice can cause food poisoning if not cooked or kept at proper temparatures. Also it seems like the method you are using is too complicated IMHO. You could try the absorption method instead, it's so simple, and you really can't really go wrong with it. This method is rarely found on the rice packet. I find it gives the most consistent results. Wash the rice thoroughly to remove excess starch. In a pot put 1 part rice to 2 parts water. Bring to the boil, stir once, and lower the heat to a minimum, cover with a lid and do not lift it again. Cook/steam on the heat for 10 minutes. Let it rest for 5 minutes off the heat. Fluff up the rice and serve. I also use the same method for pilau rice, the only difference is you add some chopped onions and whole spices (bay leaf, cinnamon, black pepper, cloves, star anise, cardamom) to some butter, fry for about 30 seconds, then continue as normal.  Put a few strands of saffron in the cooking water for extra luxury. 