I like thicker, frothier coffees and chai teas, so I'm looking into getting a handheld milk frother. I'm lazy and short on time, so I don't want to go through all the steps of frothing milk separately then pouring into coffee - plus having multiple dishes to do, etc. Can I just splash some milk into my coffee cup, brew with my keurig while getting ready for work, come back and hit it with the frother before heading out the door? Obviously it wouldn't get super foamy, but would it work at all just to make it a little thicker and more smooth?