Hello,
I have a great experience with bitcoin and alternative crypto-currencies, frankly speaking for the past 2 years working exclusively with bitcoin
So you need a clone on bitcoin that has also stake increase, something hybrid with PoW and PoS, maybe you could consider a clone to PeerCoin?
BTW, I'd suggest to not use bitcoin or litecoin as codebase, now with scrypt asics your coin may be easily abused. Better is to use some CPU intensive mining algorithm along with Proof of stake or some AuxPOW or why not a 100% PoS. We'll discuss advantages of every proof of work in particular, so you'll be able to choose algorithm that you think fits better.
Best regards,
Vic.