I would definitely recommend a semi-hollow instrument. They are much more versatile , and you won't have any trouble with feedback. Fully hollow bodied instruments can be a problem if you have to turn up.
With the budget you have, you should be able to get quite a good one. If it was me, I'd look into used instruments first. A used Ibanez Artstar AS153
like this one would really be a good way to go, much better than the Artcore series.