I would be careful cold crashing. It is a well known fact that fast temperature decrease (cold crashing) shocks most yeast and causes them to go dormant. While this is good to do if you are trying to drop yeast out of solution after fermentation, it may result in your yeast going into dormancy, resulting in longer lag phase upon pitching into fresh wort. In addition, you have to think about the fact that you are doubly shocking the yeast, since you cooled them down fast, and then are pitching them back into room temperature wort, which is another 20+ degree shift in the other direction.
My advice is if you have been pitching the whole starter as most do and had success, I would just keep doing that. I use a 2L starter made in a 1 gallon jug, 24-30 hours, stir plate, covered with foil. I pitch the whole thing, and my beer turns out great. If you are worried about volume and dilution, just reduce the final volume of your batch by the size of the starter, and it will be no different. I brew 6 gallon batches, but only collect enough wort for the boil to end up with 5.5 gallons. When I pitch my 2L starter, the volume goes back to 6gallons, and the gravity decreases slightly to what it should be for a 6 gallon batch.
#if it ain't broke, don't fix it