$3,680/month = 44,160/year *25 = 1,104,000 at a 4% Safe Withdrawal Rate. You already have $184K, so you need about $920,000 more and you want to get there in 11 years. I think that's do able, but not if you let your money sit in checking/savings/CD's.
401K - you said post tax deposit. Are you referring to a Roth 401K? If so, I would consider switching that to Traditional. You appear to be right at the top of the 15% tax bracket (106K-12K standard deduction - 20K exemptions=74K). Paying 15% tax is not bad, but you could be paying less and spreading that income across the next 40 years rather than just the next 11 years. Based on the facts you provided, I think you could be paying very close to $0 tax if you optimize things a bit more.
Read this:
http://rootofgood.com/make-six-figure-income-pay-no-tax/ and this:
http://forum.mrmoneymustache.com/taxes/If you maxed out your Traditional 401k (18k) and a Traditional IRA for you (5,500) and your wife (5,500), that $74K taxable income would become $45K. That would put your total tax at $5,827, but you would get a little bit for the saver's credit, and after 3 Child tax credits @ $1,000/per child your total tax would be close to $2,500. Adjust your tax withholdings accordingly so you don't pay in too much tax during the year, and your paycheck won't be affected as much from the increased 401K contributions.
I would then take that $87K cash, keep a little bit for an emergency fund (2-4 months expenses, so maybe $10K), keep a little bit extra to smooth out the edges for all the 401k/IRA/tax changes noted above, then invest the rest into VTSAX or something similar at Vanguard.
11 years is possible, but you need to optimize a lot of things. You can do this. Welcome to the forum.