It is very important to get that wort down to 70* as quickly as possible. Most people will forego the ice bath, for as you experienced it is hard to move boiling wort to a tub of cold water, and it is one of the most inefficient ways to cool down after flame out. Also with an extended cool down like you experienced you run the risk of wort contamination. I strongly recommend getting either an immersion chiller or a counter flow chiller. Immersion chillers are the easiest to sanitize and clean. They can look kind of pricey, but they are essential in any home brewery.
As far as the temp control of the fermentation and the yeast temp, this too is vital to making award winning beer. The style you chose to make is actually a pretty advanced one. My wife won a BJCP competition with her Scottish wee heavy, but that was after a lot of feedback from other brewers and judges. The Scottish wee heavy yeast strain is designed to ferment at about 60*. That is room temp for Scotland. If the yeast get up in the 70 range they will still flocculate, but they will also create a lot of phenols and fruity esters that are inappropriate in that style.
You mentioned you used distilled water to hydrate your yeast. I would avoid doing this, for distilled water does not have the nutrients needed for viable yeast health. Yeast need zinc, calcium carbonate, and calcium chloride to thrive. The brewing water used in the scottish breweries is what we would call "soft water," and that is a lot of what determines the flavor profile of the beer and the style. Water chemistry can be intimidating to new brewers, so don't fret too much about it now. I would however, do a large yeast starter three days before you brew using tap water boiled with DME for 20 min. That way you know you have some minerals the yeast need, and the water is sterile from the boiling. This will ensure the yeast propagate enough by the time you pitch them to munch all the malty goodness and attenuate down to the 1.010 range.
I know all of this may sound a bit frightening being new to the hobby, but don't worry too much about it. I'm sure you made good drinkable beer. I also recommend the book "How to brew" as a place to start.
Let us know how it turns out.