The i3 chip is fine for running BB.
I have an old laptop that has a duo-core processor and maybe 2G of memory.... running Vista for the OS.
I can run BB just fine as long as the style isn't using midi synths as plug ins and the same is true in Real Band (RB).... if I run straight audio, it works fine with the factory sound card..... but add a midi track with any synth and latency is through the roof. Totally unusable.
HOWEVER... when I plug in my Focusrite Saffire interface to that same laptop and use the ASIO driver it prefers, I get picture perfect playback with NO discernible latency.
While I understand the hesitancy to spend money not knowing if it will solve the issue, in most cases.... probably close to 99.999% of the time, a good interface and ASIO drivers does solve the latency issue.
I've heard lots of people say, disable the wi-fi and anti-virus in the computer, but I'm here to tell you that if you have a decent interface and use the proper ASIO driver for it, the other stuff doesn't make a noticeable difference. I've run it both ways..... all the stuff on, and all the stuff off.... I could not tell any difference..... but then again, I had a decent interface and driver set up.
If there's one single thing that you can do that makes a big difference in performance.... it is to add a decent interface and use ASIO
You can't go wrong with this:
http://www.thomann.de/gb/focusrite_saffire_6_usb.htmand it has a 3 year warrantee and a 30 day money back..... it's a no brainer