First of all, congratulations on the increase. A 690 is a good score and going up from 30 to 35 on verbal is huge.
Now I see that you want to go the rest of the way. Here are some things to consider:
1) The verbal does not adapt as closely as does the Quant. On the verbal to get those higher scores you actually need to get more questions correct. So your focus should be on reliable strategies that you employ for each type of question (CR RC and SC).
2) The verbal section adapts as a whole so if you are good at one aspect of verbal you need to be pretty good at the others in order to face somewhat tougher questions. For example if you are good at CR but weak in SC you will not only be counted down for missing those SC questions but you will face less difficult CR as well.
3) Missing simpler questions can hurt you more. Because of the way the test is scored it is important for you to get those questions correct that are at or below your level. For example, it is important to answer correctly the RC questions that you can find in the text and that might be considered easier than other questions.
Here is what you might consider doing.
a) Assess your strengths and weaknesses. What areas do you need to work on in particular? Let us know and we can offer some thoughts.
b) Standardize what you do when you see each type of question. When you see a CR what are your steps? RC what are your steps? SC what are your steps? You have to have a reliable technique that does not break down under pressure for each of these. You do not need to tell us what the steps are (unless you want feedback) but you have to have them.
I have scored 51 on the verbal on the actual GMAT and I can tell you that the key is to have repeatable - automatic - things that you do at the beginning of each question. You brain simply cannot run at 100% power for anything like 75 minutes. Save the laser focus for when you are down to two tough choices and need to re-frame the question.
Hope that helps.
Oh and novels, newspapers, etc. might be more fun than practicing for the GMAT but that is a really long term strategy that I cannot recommend. Stick with the GMAT (or possibly LSAT) materials. Reading comp passages for example are nothing like novels or the newspaper. One thing you can do is look for the flaws in the reasoning of people everyday. As a non-native speaker you might be used to being charitable and trying to make things that are said in English make sense even when they might not. Here is a link to an article to read. You might need to be more confident in your English and your logic and not assume that others are making sense!
https://www.beatthegmat.com/mba/2011/03/ ... n-the-gmat