I keep all my base, never know when someone might need some to finish a set. If I have enough cards to put extra sets together I drop them off at one of my LCS and have them give it to kids who like hockey cards.
That being said, unless you are a set or team collector people just don't care about base cards. Some player collector don't even care about base cards. I don't know how many times I have contacted a forum member that just busted a case or more of a certain product to be told that they threw all the base away, gave them away or don't do trades for base cards. Unfortunately, trading base for base is becoming a lost tradition.
I know that shipping across borders has become outrages the last 5-10 years but sometimes it's a better option then Ebay, COMC, and Sportslot.
If anyone in the US wants to get rid of some base let me know and hopefully we can work something out.