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This.
And I'll add that instead of paying someone to build, you could take your diy project to the next level, and use the money for the necessary tools and Roger Mussons book/pdf, and learn to build them yourself. I did that a year ago, and though it was a little harder than I imagined, it was far from impossible, and you'll be able to build and true your own wheels in the future. I've gone from having no clue to a stable of three bikes with home build wheels (one pair with the excellent r460 rims mentioned above) in a year with that book, it's highly recommendable.
Dt r460 rims, novatec hubs, decent spokes, could easily be built within budget.