I've owned and shot all three of these fine rifles.
The Marlin has a lot going for it, no question. Build quality(i.e. fit and finish), looks, handling, heft, heritage etc. The 1897T is a beauty, for sure, but not worth $200 MORE than it's sibling, or the competition. Perhaps that's why it was discontinued. You can can find used Mounties or Carbines out there which do have the straight stock, if that's the most appealing.
I simply cannot warm-up to the 39s. Their short stubby triggers with sharp edges are a turn-off for me, just the same as their centerfire kin. On the .22s, it's normally gold-plated, so altering it is even more of a chore. The forend seems either too hefty, as on the 39A, or too thin, as with the Carbine. The action itself is also somewhat diminutive, in comparison to the 94/22.
Winchester shares the heft, appearance and heritage of the larger guns. Blueing is normally nicer than on the Marlins, and right there with the BL. The longer, wider trigger offers me a lot more purchase, and the lever stroke out of the box is light years ahead of the Marlin. The Winnie lever-stroke is what the Henry tries to emulate. After jumping through issues with a scope base for the Marlin, the ability to just mount tip-offs is a nice feature of the Winnie receiver.
The BL's short throw lever makes it feel twice as fast. Certainly there is the comfort issue, also. It's the only gun with a recessed target-style crown. In common with Marlin, it will handle S, L and LR(Winchester won't mark their gun for Shorts any longer, though they still can digest them.). The mag tube is not the typical 1/8-turn-to-release. It actually has a spring-loaded locking tab which you must push in to release. Nice touch, and I doubt it will ever wear or become sloppy in fit as with the others.
I had one for awhile before selling it. The lever throw, and having the trigger stay with the lever were not the issue. The lever stroke was more of a two stage process, the latter of which was overcoming the hammer-spring to cock it. The oomph required resulted in the stock shifting down off of my shoulder and away from my cheek. If I really pushed it in snug to my shoulder, it was stable, but then that would become uncomfortable after a bit. Otherwise, it remains a quality rifle in every respect, and some features are even a step-up from the Winchester and Marlin offerings. IMHO, the trigger is both the heaviest and the hardest to use of the three.
Advantage: Winchester
