Wow - thanks for all the responses! Here's my attempt to try and summarize all the awesome information provided here (and make sure I'm not misunderstanding your responses):
After I purchase and rehab a property, I can get my money out immediately if I find a special type of lender (e.g. portfolio lender) that allows this. Or I could get a non owner occupied HELOC to tap into the equity).
If I want a conventional Freddie/Fannie mortgage though, I should wait at least 6 months (or possibly up to 12 months - it depends on the lender) for the seasoning period to be satisfied. Once the seasoning period is satisfied I can get delayed financing based on the new ARV of the property. I can get delayed financing before the seasoning period is satisfied though, but the big downside is that I'll only be able pull out money based on the original purchase price, not the new ARV.
Two important notes to remember with the delayed financing path:
1) To Diana's point - I need to properly document the funds used to initially purchase the property
2) To Jason and Kyle's points, to pull the most equity I can out of the property, it will be based on 100% of HUD or 75% LTV, whichever is lower.
If I go the LTV path, an appraisal is needed to determine the new value of the property, post renovation. Then I'd get a loan for 75% of that ARV.
If I go the HUD path, before completing the initial cash purchase of the property, I need to provide documentation (e.g. invoice estimates) to the title company on what the projected rehab expenses will be, so they can include it on the HUD. Immediately after completing the cash purchase, the contractors receive their payment in full (for work they haven't performed yet)
Is this an accurate recap?