Can anyone point me in the right direction as to where I could find such information if I gave more detail.....?
No one will be able to answer the question in general, because the working out even ball-park timeframes would depend on giving a specific team all of the precise details, and having them draw up a schedule. Different teams and different details will come up with completely different schedules/budgets for the same project. You can't really take a quote from one team and give it to another team and expect it to still apply.
Maybe if you can compare it to another project, you'd be able to get info about whether that other project was in the $1k/10k/100k/1M/10M/100M range...
Basically, you'll need to approach a work-for-hire game developer (usually: ones that aren't owned directly by a publisher, but make games for publishers), and tell them that you're in the market of having a game made. You'll tell them the kind of money you want to spend and give them your design, and they'll pitch you back a plan (or laugh and curse you, because you've given them a $10M idea with a $10k budget). If you like the pitch, your lawyers will then draw up the contact including all the milestones, and you're in business.