I don't know of any site showing pictures of Tennessee record fish. There is a site with pictures of some of the "certificate" fish cited in the TARP program, but those aren't record fish, just big ones. The site is here:
http://www.state.tn.us/twra/fish/tarp/tarp.html
However, I may be able to answer your question about "method of capture." Tennessee maintains separate lists for fish caught by rod and reel and fish caught by other methods. The lists are here:
http://www.state.tn.us/twra/fish/FishRecTbl.html
As you can see, the rod and reel state record for carp is 42 lbs. 8 oz., and the "other methods" carp record was caught by bowfishing and weighed 52 lbs. 14 oz. It seems like either of those records would be pretty breakable if you set your mind to it.
bd