Howdy!  Welcome to the forum and to the wonderful world of Krags!

Any Krag you wind up with would be great... as all Krags are, but since you are looking for one in "As Issued" military condition, then I would look to start with a Rifle.  Carbines are out there, but can be pricey.  Also, many carbines have been faked, especially 1898s, so you'll have to be cautious.  Rifle's are a plenty, and can run from $800 up to over $1,200 depending on condition. 

As far as Rifle over Carbine where accuracy is concerned, I couldn't say.  But last couple years, there has been a Carbine on the line for the Roosevelt Match at Camp Perry!

Check the classifieds on this forum.  There's a pretty decent looking 1898 Rifle for sale for $850 plus shipping and insurance.  You could do a lot worse!