No offense, however I would get over my not liking guns really quickly in a survival situation.
Something like a small .22 cal rifle
http://www.henryrepeating.com/h002_survival.cfm
or a longer barreled revolver would be my recomendation.
Survival is not about it being cool or nifty to fashon your own riser and make your own bow, it is about coming out alive. Expend as little energy as possible doing just the things needed to keep you alive until help arrives. By the time you get done whittling your riser, stringing your bow, getting proficent enough to hunt with it, you could be dead. That's not even considering that you may not be accurate enough with it to actually kill anything within a reasonable period of time.
A small .22 is light enough to carry and will give you the ability to hunt effectively until you either get yourself out or are found.
The bow is just a bad idea.