The Playtex Drop-Ins line has these great connector/adaptor pieces you can buy so that you can pump directly into a drop-in bag and then store the milk in the bag. http://tinyurl.com/4977xo I did this regularly, to keep a drop-in or two of fresh milk on hand. I always kept a drop-in and connector set in my pump bag, in case I ran out of plastic containers in a day, which can happen if you are particularly prolific.
You technically can freeze the drop-ins with these lid things, but that would take up a lot of freezer real estate and would get pricey for the plastic pieces.
Also, Medela makes storage bags that are designed for directly pumping into. Samples are often included with their pumps. http://tinyurl.com/49ux8w
Yes, I’m with mar… I just would stick the horns in the fridge. They then did not need to be cleaned between pumping. I usually just left them attached to the bottles which were never full, made sure the whole thing stayed upright (so no spilling would occur) and put the whole shebang in the fridge. I didn’t mind strapping on cold horns when I pumped, so I didn’t even rinse them before I pumped again. This way I could pump whenever I had ANY time, not just when I knew I would have time to FINISH, and I wouldn’t need to take time wash parts/or worry about having enough extra parts.
I’m not working now but pumped at work regularly with my daughter for a year. I used to put the horns and connector pieces (not the tubing) in the cooler with the milk bottles and put the whole thing in the fridge. The milk is fine for days in the fridge. I’d usually wash the horns to warm them up before using them subsequently. This also saved washing (or worrying about it). Then I could clean everything thoroughly at home. The microsteam bags are great too and let you sterilize parts quickly and without showing everything off.