Of the rods you selected I have most..
I wouldn't be so quick to cross off that charter special as the only 2 on your list that I would recommend for your intended dual purpose would be the tsunami 701H and the charter special 6'8...
Both rods can handle fluke and tog without an issue but are very different rods when compared..
The tsunami 701H-
Pros... this is probably the most capable budget priced rod I've ever fished.. I have probably a thousand+ fluke on it and countless tog including many over 10lbs.. I've also put it through the paces on lots of other fish including dozens of 40+ bass last summer in mtk, dorado, albies, a few AJ's and more.. Rod handles anything I've ever thrown at it with ease.. almost seems indestructible (believe me I've tried).. it's a amazing for light action jigging also..
Cons... there is really nothing bad to say about this rod except that the action of the tip is more moderate than fast and sometimes when I'm working a fluke rig I like more control over the action of the jig.. this does not come into play with ½-1½oz back bay jigging, but it does factor in when I'm using heavier weights in deeper waters off montauk... there is literally not one single other thing to say negative about this rod..
The charter special 6'8-
Pros... in the spirit of full disclosure, I havent put enough time in with this rod yet to make a FULL assessment (especially on BIG fish) but the experiences I've had so far speak volumes and more than cover your uses...
this rod is an exceptionally strong rod that is more than capable of besting your intended species.. much like the tsunami rod above, it's versatility is almost unbelievable.. while fluke and tog are fun on this rod, I can feel that it has the backbone to handle some real brutes.. lifting 8-10lb angry tog away from a rock piles was a breeze and I could feel that it didn't even come close to what the rod is capable of.. for me what really draws the line between these two rods in comparison is the action of the top ⅓. The charter special has a faster stronger tip that is more capable of working heavier deep water jigs with more contact and precision.. as mentioned above, keeping control over a heavy jig on deeper drops can be the difference between proper presentation and skunked... also, I find the charter special to be significantly more sensitive than the tsunami. you can feel much more of the bottom/structure your working and it definitely conveys even the slightest tap with much more crispness than the tsunami will..
Cons... once again there isn't much that I can say bad about this rod. However, if I had to pick something it would be that you will not experience as much of a bend on smaller fish. Given its stouter/faster nature smaller fluke aren't going to be as fun to catch as they may be on a softer bending rod.. it's not really even a bad thing, but if you spend more time on smaller back bay fluke and really like seeing a good bend, you may want a softer tip section..
Summary: both rods are more than capable of targeting the tog and fluke you mentioned. What would be the deciding factor for me is, where do you spend most of your time fluking? If your usually in more shallow water and using jigs in the ½-1½oz range, then the tsunami would be my pick.. if your spending more of your time in deeper water situations and frequently use rigs in the 2½oz+ range, then I would opt for the charter special...
Bottom line is you really cant go wrong with either rod..
Last note pertaining to both rods..
I love split rear grips and almost always opt for them.. however, they do tend to get chewed up in a gunnel and I've seen them get damaged badly and even snapped off from damage to the exposed blank section.. to remedy this I always wind up putting a layer of winn grip wrap around that section so as to put a small cushion and protective layer between the blank and the rod holder..