Lot's of good responses here, but unfortunately nobody seems to have actually gone through this debate/exercise first hand. Here's a real-life example! I built my company's first product, DrinkMate, in 2014 and was forced to use crowdfunding (Kickstarter) to prove the market demand. This was great and we received $99k in backing, definitely enough to manufacture all the DrinkMates and I thought it was enough to seed the company to grow as well.
Wrong! One of my biggest mistakes so far was not pursuing angel investment immediately after the first Kickstarter campaign. We scraped by until April, but after development delays making our iOS DrinkMate (the first Kickstarter was only Android), we were really in a pickle. We buckled down and launched a second Kickstarter campaign in July in addition to pursuing angel investment.
Our second Kickstarter campaign ended just over $93k and we're now about 1 month into our seed round. Things are looking great now, but earlier this year in April, drastic action was needed in order to get working capital (credit cards, loans, etc.).
Conclusion: start pursuing angle investment as soon as you have a MVP! If you don't get investment immediately, you'll at least already have the connections and contacts in line for later (such as at the close of the Kickstarter campaign).