I'd say that YES the blockchain.info wallet would be a great solution for your needs.
For someone with your transaction volume, I think it's a no brainer to use their wallet and make periodic deposits on an exchange.
Edit: What jwzguy said above me is correct. He's just not as verbose as I am.

I think the new method for hacking is this whole social engineering attack... hack into twitter or facebook, get access to my gmail, then lastpass, then find wallet password... But I have the advantage of not being a big target, so its unlikely someone would go to all that trouble!
I am really liking blockchain, I created two wallets, one for online transactions, and one for instore transaction. Downloaded the ipad app, and have it autobackup both to email and dropbox. Password is a 15 character generated password from lastpass.
Wish I knew about them before. But we are back in business accepting coin!