Joshua,
There are generally two schools of thought on this, each with pros and cons. The schools are split between getting the masters now versus getting experience first.
Get the Masters now:
Some companies won't look at you for a structural position without a masters degree. Companies understand that structural engineering tends to be more involved theoretically and more, higher level, calculation intensive. This is especially true when you start looking at seismic loading, etc. There are definitely jobs out there but a masters degree will definitely make you more competitive.
Another major point for getting the masters now is that you are already in "school mode". Once you get out in the workforce your daily life will be far different and many people get out of the habit of studying, doing homework, etc. Along with this, once you start working it is easy to just keep pushing off going back to get the degree. It is too easy to find another project that will consume your time. Some people manage this well, some do not.
Work a few years then get a Masters degree:
The major pro of this argument is that having a base knowledge in the industry helps you understand the theory much better. For example, you probably designed concrete members in a concrete class, you probably even used ACI to work with. But most times (I can't say for your program) those classes don't talk about where those loads come from. Most engineers I come across never used ASCE 7 to develop wind or seismic loads in school. Working in the industry you will be working with experienced engineers who, if they are good mentors, will teaching how the applicable theories apply to what you are designing. You obviously won't get the depth of knowledge you will by taking graduate-level courses but you get a base of practical knowledge.
Along with that practical design experience, and as a bit of an aside, field knowledge of how a building actually goes together in invaluable as an engineer. Going from tying rebar and pouring concrete to designing concrete has made me a far better engineer.
In the end, you have to know yourself and weigh the options. My opinion would be to finish the masters now but look for an internship where you can start getting that experience. You can learn a lot in a summer internship (is that having your cake and eating it too?)
Hope this helps. I look forward to other wiser opinions.
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Joseph Brejda
Pond & Company
Norcross GA
(706)267-7533
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