Take a look at the following link to Felt's website and compare the F Series to the Z Series:
http://www.feltracing.com/products/d...sp?catid=18,19
A road bike with "relaxed geometry" where the frame angles are arranged to bring the handlebars up to a more comfortable position sounds like it will suit your goals. Other bike companies have similar offerings of course, but Felt's site illustrates it well with the side-by-side display.
You'll be able to get a quality bike within your budget that will handle your size/weight as far as the frame, fork and components goes but special consideration should be given to making sure you have sturdy wheels. I don't think it's something to be too overly concerned about though, but it's something you might ask the salesman about at the shop.