Originally Posted by RollCNY

If you want stability in steering, look at a value called "trail". Most size charts don't list it specifically, but it is a function of Head tube angle and Fork Rake, which are usually listed. Mr. Google will point you to a chart to compare values, and the bike with the most trail should have the least responsive steering, all other things being equal (which they never are).

Additionally, a bike with very aggressive steering can still maintain a straight line, but that has more to do with rider input.