Hey Chris, I'm no expert but I'll put in my 2 cents anyway.
timing is always key, less competition = cheaper closing. that said, sometimes when you're the first in the house and dropping an offer (full price, or close to it) the seller realizes their agent may be off on the price, and they sit back waiting a bit to see what happens. So your ability to not act too eager but yet be strong will always help.
Also remember, there will always be anther house, another deal, don't get too attached.
Always make your offer on Shorts as strong as possible. If you're buying "as is" anyway, why even have an inspection contingency - if it is truly "as is" it doesn't matter. If that inspection can get you out of the contract, then you're just as likely to walk / renegotiate, as the other is risky in the financing.
FINALLY, and probably the most insightful for you. I just learned this, and I'm not exactly how it was worded in the contract, but I will do my best.
Your realtor should be able to word the contract so that they can't do the "OK, we've got bids, now everyone give me your BEST offers" I believe it was worded that when the seller accepted the offer, they were no longer able to take any other offers. Maybe someone here can clarify, or I can call my RE agent. In your case it may not have mattered... but like you said, timing is key! If you had put that clause in, the seller would have been forced to decide on your offer right then, rather than waiting for more offers.
hope it helps! It worked for me! I've failed on several shorts in the past, and using this clause, and getting into the house quickly & presenting a strong offer got me a house with substantial equity already in it!
Good luck!