I agree with the others about the time savings, etc, you'll gain by going the "heating up" route.
I will point out, though, that once you get bitten by the bug, you'll likely want to move on to more advanced techniques. At that point, you can practice for future mini-mash batches simply by going through the exercise of heating to a target temp and steeping your grains there while maintaining temperature for the allotted time.
While this will not make a difference in an extract batch, you can still hone your skills on batches where temperature is not as crucial. Then, you'll be one step ahead when careful temp and pH control become much more important (ie, a couple degrees can noticeably alter the finished product).