Why do you want to use three (bamboo) core laminates? One lam would be plenty, as long as it's thick enough. Also, what type of bamboo do you want to use? The hickory backing and osage belly sound perfect for this kind of bow.
I usually refrain from any hunting-related questions...but 30-35# for deer hunting sounds illegal to me. Check your local laws to make sure you meet the required poundage for hunting.
62" would be rather short for the design you pictured. Myself, I might go to 64", but would probably stick to 66". You have a stiff handle, and apparently not too much laminating experience. But like I said: 62" is doable. It's all a trade-off and one big balance: good materials, versus little experience, versus extreme design, versus low draw weight, versus short bow length... It's not set in stone but all factors are related to one another.
I'd still recommend you to lower the amount of reflex to even less than 5". A lot of reflex does not automatically create "a performance bow that shoots like a heaver bow".