I have been a project manager in and around outsourcing for a couple of years -- both working inside a outsourcing company, and as a customer using a outsourced dev team.
In my experience, having the developers outside of headquarters always increases time to market. No exceptions.
Edit: Come to think of it, after reading Tim's comments, maybe there can be an exception: If you don't have any developers right now, and you find that you can't attract any developers either, then maybe time to market for a version 1 could be better with outsourced dev team. But on the other hand, if you can't sign up any skilled developers quick'ish then IMHO that's a symptom of serious problems elsewhere (vision / CEO persuasiveness / location).
Consultants will give me more support, stability, and innovation
Support -- maybe, but should that be important... Stability, forget it. Stability is for large companies in established markets. Innovation -- absolutely no, you'll get the most innovation when the developers and product owners are within arms reach of each other.
I would suggest you consider these things in context of your startup:
The value of time to market for you. If you're doing Lean Startup, the value of short cycle time through the Idea - Implementation - Data loop.
As best possible, how large is the technology contribution to your startups value, i.e. are you technology heavy, or is it all commodity stuff?
Bringing a technical co-founder on board now, having someone who's heavily invested in the startups future and who has prior experience building solutions similar to yours.
Additionally, maybe your first iteration doesn't need to have any code behind it at all?
Chris Dansie speaks of a successful company built with outsourced dev team. I have realized a very successful project with an outsourced dev team. Clearly it's possible, but I have seen many disappointments with outsourcing.
(Is the failure rate of outsourced development higher than that of non-technical CEO with in-house hired development team? I don't have any data for that, so I couldn't say.)