I can not understand that why are you not preferring blockchain because I am using blockchain since 2014 and never faced even a single issue so far. However, I would recommend using web wallet only for the regular transactions and not for the long term storage. I think a securely generated paper wallet is better than hardware wallet in terms of cost, ease of use and security.
I quite agreed with you on block chain as my most preferred wallet I have been introduced to different types of wallet but I felt secured using block chain, I like all the security features deployed by block chain to prevent hacking of the wallets and I am pleased with their mode of transactions.