My current thoughts on drop shot fishing. Yeah, I think that it is a "finesse" approach, but that don't mean that you can't bubba it up some. For me, mostly because of the cover & brush I the lakes that I fish in, I tend to catch more fish using the bubba shot compared to using lighter gear. My bubba shot gear consists of a 7'5" Kistler pitching rod ( I got the telescopic one because it stores in the fishing truck better ). I use a small Calcutta 50 size reel and 20 lb Abrazx line, maybe once or twice I've used a 3/8 oz weight, much more often than not I'll use a half ounce. My thinking here is that with the bait being above the weight, the weight really doesn't affect sensitivity all that much and the half ounce weight gets me to my target ( the bottom) asap.
To the original poster - I think that a 6'9" heavy rod will work but I think you'll get better leverage and reach with a longer rod. I began my bubba drop shot fishing using an old All Star WR 1 and while the rod could handle any fish I might ever hook up with, I got to like the extra reach I got with the Telescopic 7'5" Kistler better. I think that 14 lb line will work, but IM0 an abrasion resistant line will work better. I'm using the stoutest abrasion resistant line I can find that my little Calcutta 50 will handle well and that turns out to be Abrazx. Pretty certain that other lines will work , just haven't tried any others. In my situation that little Calcutta 50 holds a relatively small amount of line, so I haven't tried a braid to fluorocarbon line. If you're using a regular size reel, that might be an option.
My lighter drop shot system consists of a 6'10" Loomis drop shot rod and 6 lb test. I use straight 6 lb test, mostly because the reel only holds a modest amount of line and it is just easier that way. I use the max weight that is recommended for the drop shot rod ( 1/4 oz )
because I want the weight to get to the target asap and a quarter ounce drop faster than a lighter drop shot weight does.
One of my goals for the upcoming season is to be quicker to pick up the lighter rod instead of the bubba rod and see if the lighter line gets me more bites. When I'm thinking finesse, I want to try to pick up the lighter drop shot rod instead of the shakey head or the quarter ounce Brewer Slider rig. In the lakes that I fish, most of the hits will be slot fish (12" to 15") so I'm more or less confident that the rod will handle them. Last season, the largest fish that hit the lighter drop shot rig was a 17" fish and the rod handled the fish fine, but it was in an area that didn't have an abundance of gnarly stuff. I'm going to start throwing in to the gnarly stuff more and see what happens with the lighter rig.
Going to a 10 or 12 lb braid/fluorocarbon leader combo might be an option.
A little bit of background - I'm a junk fisherman, every time I go fishing I carry an assortment of different rigs, to hopefully best match the conditions I might run into, so I always carry both drop shot rigs. If you're into a more minimalist approach, my approach might not work well for you. Hope these thoughts help while you're re- rigging, waiting for the thaw.