My view is that it would be very difficult to have a positive influence on the domestic situation inside of Russia. There are several reasons for that.
First, past experience hasn't proven that to be a very successful approach. In fact, in some cases it can backfire.
As you probably know, the Russian government is very wary of western interference. It claims there has been heavy interference in the Ukraine and other parts of its neighbourhood. Certainly it has taken defensive measures to prevent what it perceives to be potential interference domestically, including the foreign agents law, which basically prevents organizations, NGOs within Russia, that have arguably any kind of political activity, from receiving any foreign funding. This is a very punitive action for these NGOs. It basically disempowers them. This shows the willingness of the Putin regime to act assertively to reject efforts to try to promote, as you might say, democracy internally.
Furthermore, because I do believe Putin genuinely has a high level of popular support, those ratings that you read from the various public opinion surveys may not be exact. Based on my experience and my interaction in Russia, I believe that the Russian population generally stands behind Mr. Putin in terms of his primary approach.
Part of that is because a sense of humiliation occurred in relation to what happened in the 1990s in Russia. There was an economic decline, which was perceived by many people to be based on a kind of western model. From the perception of many Russians, that was a great failure of Russian policy, to accept western advice in that context with those consequences. There would be quite a strong popular receptiveness to any interpretation put out by the Russian government in relation to attempts by the west to influence domestic arrangements inside Russia.
The other problem is that when you take that path, you don't know what the outcome may be. It can be very unpredictable. You might end up with a stronger nationalist government in place, a more unpredictable one. The outcome could easily be worse than what we have now. I would recommend against that approach.