The bandwith can be a problem. Because the crt monitors died out, the refresh rate isn't a real important thing. I suggest try to reduce it so low as it is possible (if you use windows, it is in the advanced properties of your display settings). If it works, you can set higher refresh rate, if the very realtime graphics is to you important.
If it worked, please don't forget to accept my answer. :-)
Some quick background
Pixels are the smallest physical "dots" that are lit up on the monitor to display an image.
They are the building blocks and define all of the tradeoffs. The monitor is manufactured with a specific arrangement of pixels, which is its "native" resolution.
Characters are drawn on the screen by defining which pixels are illuminated within an imaginary grid. The number of pixels in the grid determines the size of the font on that monitor.
Normal Size
Let's start with screen fonts at their normal size and the computer configured to use the monitor's native resolution, and compare how the same font will look on two different size monitors. On each monitor, the actual size of the font on the screen will be determined by the physical size of the screen's pixels.
The density or closeness of the pixels at which the screen is manufactured is measured in pixels per inch. That determines the physical size of each pixel. A 19" monitor with a native resolution of 1600x900 pixels, and a 23" monitor with a native resolution of 1920x1080 pixels, both have roughly 96 pixels per inch. So, if these two screens were compared side-by-side, the font would be the same size on both displays.
Magnification
If you want to select a larger font or set the computer to magnify the font, either option reduces how much will fit on the screen. The larger screen will give you more screen real estate (more pixels to work with). So, the larger, higher resolution monitor will allow you to display more of the enlarged content on the screen, offsetting the content loss from enlargement.
If you set the computer to a lower resolution and magnify it to fill the screen, it maps the content of the smaller image onto the larger space and interpolates to determine what each physical pixel displays. Mapping a 1280x720 resolution onto a 1600x900 display is equivalent to a magnification of 125%. If you wanted that same magnification on a 1920x1080 display, you would select a resolution of 1536x864 (or whatever was the closest standard resolution available), to map full screen. That figure is nearly the same as the native resolution of your current monitor. If you selected a slightly higher resolution, you would get a slightly lower magnification.
So with the larger monitor, you could come close to displaying the content of your current monitor's native resolution at the magnification you like.
Hstoerr raises a good point in his comment. The question talks about crisp, clear text at the monitor's native resolution. Displaying content at the content's native resolution will be sharp. Using any form of magnification, or mapping lower resolution onto a higher-resolution screen, will lose that sharpness. The process of interpolating and averaging pixels degrades edges and fine detail. The sharpest results will be obtained by using larger native content (for example, large fonts and icons displayed without magnification).
Best Answer
1680x1050 is not a common resolution. You probably have a 23" widescreen monitor and it's probably a Viewsonic?
To get Windows to know this is the resolution you need to run on this monitor, go to the monitor manufacturer website and download the drivers for the monitor.
One thing monitor drivers do is tell the OS what resolutions the monitor supports, and once you've loaded the drivers you should be able to make this selection without issue.
Also, the connector you've plugged the monitor into can make a difference. For instance, using the Viewsonic VA2232wm monitor on a VGA connector, it'll usually detect properly in Windows XP and give the correct resolution options. However, using a Display Port to VGA adapter, and while it gives a dizzying array of possible resolutions, 1680x1050 is not one of the options until I load the monitor drivers.
UPDATE clear instructions for updating monitor drivers:
If the driver package contained a more than one inf file, you'll probably see several different monitors listed in the following windows. Select the correct one and choose to install it.