You should check with your program to see what they recommend. If they require you to get a full license, then you don't really have a choice. If it's super important to you, you should also see how it affects moonlighting in your program or state (many programs don't let you moonlight outside their own hospital anyway).
Having said that, I got an unrestricted license during fellowship and it basically didn't do anything for me other than cost me more money upfront and for renewals