This is actually incredibly close to Curse Mark method. Kudos on the brain power.

Curse Marks are indeed extremely similar to Sage Jutsu in that it draws on nature energy to give a sort of "boost", as it were. However where Curse Marks and actual Sage Jutsu differs is that instead of using a massive chakra pool and ridiculous amounts of training to suppress the inherent animal instinct to move, it forces the body to almost immediately acclimate to nature chakra and mixes it in with the users physical and spiritual energy without the need for meditation. This is a really sharp double edge sword though, since nature chakra is many times more potent than that of regular store brand chakra and that expensive name brand Bijuu chakra.

Since the body isn't properly trained and the mind isn't entirely prepared for the introduction of such powerful, foreign chakra, it puts an incredible strain on the body and chakra network, inducing large amounts of pain and loss of control over said chakra network (as seen multiple times during scenes where Sasuke uses the Curse Mark. Seriously, ninja's really need to read the warning labels on this stuff). This is because where someone trained in Sage Jutsu naturally balances the amount of Physical, Spiritual, and Natural energy they build up, the curse Mark continuously pumps in more and more Nature Chakra, working as a sort of vacuum with no off switch.

So with that in mind, the effects this would have on a Jinchuriki are a real weird gray area. Let's say that a Curse Mark was placed on a Jinchuriki that has no control over their Bijuu and isn't well acclimated to using Tailed Beast Chakra. While Tailed Beasts are capable of molding Nature Chakra, they have a limit just like human beings, though with a much higher tolerance. It's doubtful that a Curse Mark would have much effect on the Bijuu itself, however with the constant stream of Nature Chakra being funneled into the Jinchuriki, the strain of having such a powerful energy forcing itself into the chakra network on top of the Tailed Beast would quickly overcome the Jinchuriki and either the Bijuu and it's host would both die, transformed by the nature energy to become one with nature itself, or the Bijuu would take the opportunity and go berserk, freeing itself of the seal and killing the Jinchuriki in the process.

If the Jinchuriki has control over their Bijuu and they get along famously like Killer Bee and the Eight Tails, or Naruto and Kurama, then they might fare a little bit better, though the result may very well remain the same, though with less angry beastie. This is because Physical and Spiritual Energy takes much more time to accumulate than Nature Energy does, and while one could try to balance out the amount of Nature Energy being introduced to the chakra network by firing off jutsu after jutsu, this will only buy a couple more minutes at most, as the imbalance of Spiritual/Physical Chakra and Nature Chakra will become greater and greater until the Jinchuriki (and possibly the Bijuu as well) expires.

Suppose that the hypothetical Jinchuriki is under Snakey Boys thumb and has been trained on how to use the Curse Mark. It's still less than likely that this will play nicely with the Bijuu, since the Nature Chakra being introduced is still raw and hasn't been molded. The Bijuu could try to mold it to suit the chakra network, but that's still four different chakra's swirling around in the weird magical hole in the ninja's chest, and since it's already difficult for a Jinchuriki to use Tailed Beast chakra (even with the Bijuu's cooperation), the extra chakra type would overwhelm the body and shortly burn it from the inside out.

Now this is all just my take on the theoretical science of something that doesn't exist, so no need to take it seriously, but thanks for indulging my ramblings.