Washington, D.C., Has More Tech-Job Openings Than Silicon Valley
wsj.com
wsj.com
Hopefully Amazon's HQ2 will improve things.
As someone who lives in the area, I dread recruiter calls because 98 percent of them are for roles nowhere near everything I have in my resume and work requirements profile.... Ugh. At least we rarely get earthquakes. :P
This is not a lot cheaper than what you quoted, but for ~$2k/mo you can rent a 1 BR apartment in one of those relatively new, relatively fancy condominium-style medium-rise buildings at Reston Town Center (essentially the "downtown" area, or at least one of them) which puts you in very short walking distance of a bunch of tech offices and even a good number of nightlife and entertainment options. You could easily live the "15-minute city" life there. It would be a little bit like living in a large outdoor mall, but it's a very walkable "neighborhood". (EDIT: the DC metro system is also within walking distance.)
There are a handful of other "tech hubs" like that scattered around the DMV.