Definitely dating myself, but prices for apartments in No. VA were quite reasonable before floods of immigrants came in (not against immigrants who contribute good, but against the criminals and bad of course). In 1975, typical 2BR apartment in decent neighborhood could be had for around $200-250 a month. (Someone told me in late 1950's like apartments were around $60 here, but that was before my time). First flood, Vietnamese boat people in late 1970's after Vietnam War which US Lost. Prices have since gone up from there with more immigrants coming in.
Better apartments, with better sound proofing, can be had for a price, say over $2000-2500 a month, one exception in good neighborhood is Stuart Woods in Herndon-Reston area with all concrete construction floors and walls, built in 1970's, better maintained, not perfect, but better than another one in South Reston. Also keep in mind the minimal Fairfax County building code for apartments requires only concrete on ground floor, unless apartment building is more than 5 to 7 floors.
Some hints living in apartment myself, better than most for under $2k a month, though wall-to-wall soundproofing is great short on occasion neighbor blaring music, floor to floor is lacking though, but neighbors are generally respectful given the construction limitations. 1) get top floor is that works for you, 2) move to neighborhood not next to commercial development and has no more than limited public transit which if more buses brings in illegals, other problems, so not a party neighborhood such as next to GMU, 3) related to 2) neighborhood with trees, 4-legged wildlife which calms people, 4) for under $100, a sound masking machine can be had if ultra-noise sensitive from Amazon
https://www.amazon.com/Adaptive-Sound-Technologies-Therapy-System/dp/B002SMJQT4. From first hand experience, it does good to block noise up to 70db, 10 times louder than normal conversation, 5) one with management where the company is privately held and not on Wall Street, and more customer and employee caring, and deals with noise problems promptly. My apartment neighborhood is in western Fairfax County (doing some Googling you can figure it out, there may be more than one, but since this is a public forum, not sharing the neighborhood where I live).