There is 2 other homes under 200k that are available/to be built. I have a feeling Jill just pulled all actives of Brooklyn Park instead of New construction to get such a high number. There are actually 25 listings I pulled, but the rest of the homes are all above your budget.
Another problem is I did not see 4/2's in this. So here is a suggestion you may want to take.
As I said I know Brooklyn Park very well since I just sold a home up there, and plus I work with a investor that buys a lot of properties to flip over in that city.
For your budget, and the 4/2 you are asking, I just feel like a split is screaming at you for Brooklyn Park. Many investor rehabbed homes will sell between 170-200k which is right in your backyard. As a bonus you should be able to even look at some 4/3's with a master bathroom. Yea I know it is not new construction, but these homes will be 100% move-in ready. If you are concerned if the work is quality well that is just another reason to use a Realtor to help you out. I have been in so many of these homes I can tell you what work was done and how well the investor did it, and I can also tell you if they cut corners.
But anyways that would be the option I would explore if I were you. That does not mean we can't still explore new construction and weigh the options. I also don't know if you have your heart set on Brooklyn Park, or if there are other areas you would look at for New Construction.
Yea Jill is right too it does not cost anything to work with a Realtor, and a benefit is I can help you prioritize your goals, and once I know your specific needs I can help you get the best house. Or also maybe just have conversations like this.
The next step would be to just contact me directly on Trulia if you have any more questions, or would maybe like to explore how I can help you out.
Otherwise Happy House Hunting!