I would store no more than the number of bitcoins I was willing to lose in that setup. Mainly because you are utterly relying on a third party (blockchain.info), but also because of what flipperfish said.
Ugh.. this is so frustrating. How am I going to lose my coins if blockchain.info won't hold more than what I need for my spending money. And how can a bug get exploited if I'm not going to be actively using my browser.
One more time: I'm going to use my setup as follows. When I want to fund my savings wallet I'm going to reboot to my ubuntu stick, open electrum or multibit(haven't decided yet) open either an exchange page or blockchain.info and transfer the money to my thin client's wallet. After I do this I'm going to close and reboot. If I need to spend my savings money I'm going to reboot to my ubuntu stick, open electrum and open blochchain.info and fund one of my spending addresses. I wont do anything else with my USB stick.
Where exactly is the risk in doing this and how big is it? Is linux really this unsafe that I can't even do the above without risking getting hacked? Is there really no other option but an air gap?! I mean this starting to be too much..
Put it this way, there is nearly always the potential for you to be hacked or get a virus, but you have to under the % chance of this happening and put it in context, just because there is a 0.0001% chance doesn't mean it's going to happen (numbers maybe made up but they wouldn't be far off for any tech savy user).
I've been on the web for over 24 years. Sure my computer has caught a virus or two, but my personal computer was never purposefully attacked or hacked into. Most of the virus' I got was when I was a child or I let someone else on the computer and they did something stupid and it got compromised because they downloaded something they shouldn't of done and yes all of these were windows machines.
Btw the few linux based PC's I've had and never to my knowledge had either a virus or been hacked into, I use the same level of protection on these as my servers.
I've owned a server, vps, shared hosting of some sorts for around 10 years, those have a nice big target on them, no virus' but do get hack attempts all the time. They were all Linux machines very public, since they are servers and host a few relatively popular websites.
Most hacking attempts are pretty basic, so it's easy to prevent with a properly setup firewall.
If you want to go towards server like protection against hacking attempts, that is what you need to look into how to setup your firewall. One method, limiting outside access by IP address to specific ports, anyone else, gets a denied instantly. Figure out what might need to access you from the outside, make note of it's IP address and put that on a white list. Don't add more than you need to.
So if blockexplorer is the only site you go to, make it so that port will only be open for that IP address of that site.
Same applies for electrum and it's blockchain servers and the ports it uses.
Linux really does not need the same sort of anti-virus protect as windows, so as long as you have something, that is usually enough.