225/45R17 will fit nicely although isn't a very common size so will always cost a bit more. Goodyear directional 5s will be a little more than your budget if memory serves but grip nicely and are pretty quiet. A really common size is 235/45R17 but require a slightly wider wheel i think will check tomorrow but am fairly certain.
Keep us informed how you go
For images i use imgur and copy the forum link code bbc maybe i cant remember. Pics of the wheel would be sweet