Probably the question to ask is, "what do you consider breaking the bank"?
I personally build my own machines so I couldn't really recommend a brand name. But I could certainly advise
on components to buy in order to put one together. If you can operate a screwdriver, building a computer isn't
a big chore.
Though for suggestions, I wouldn't settle for anything less than an Intel I5 or better processor. 16gb of RAM or more.
LOTS of hard drive space if you plan on taking lots of pictures.
Nvidia and ATI/AMD both make great video cards.
Nvidia GTX960 would work just fine.
I can't suggest a monitor though. There are a lot of new tech monitors out there that need to be researched. Such as the
new 4k monitors which will provide some very high resolution images. But they are a bit pricey. Still, a good 1080p screen
would work just fine too.
I would go to NewEgg.com and see what kind of machines they have pre-built. I just don't like the name brand machines like Dell, Gateway, HP, etc... Usually they are not very future proof. Typically comes with weak power supplies. They are just good enough to power the machine that you buy. But if you want to upgrade a graphics card or add more disk space, the power supply just won't be strong enough.