The CPU at 98-100% is the issue you need to fix, and I seriously doubt it is DA:I that is doing it all by itself. The game needs between 60-90% of your CPU to run smoothly, and thus if you have anything taking up from 10-30% CPU power, then the game will lag, run slow and basically be unplayable. So how do you find out what is causing the issue......Microsoft created a program just for this kind of problem, doing what Task manager can't do. So you need to Download and run Microsoft Process Explorer. So you should have a list of Process on the left of Process explorer, then CPU in next column, then Private bytes, working set, PID, Description and finally Company name.
What you are looking for is anything that is using CPU when running DAI...so click on CPU so it lists programs/processes by descending CPU use..
So if you are running DAI it should basically look like this...
Dragon Age Inquisition... 80.99 whatever memory whatever memory etc etc Bioware/EA
System Idle.... 15.00 0k 0k 0 blank blank------------system idle is just what isn't being used
and on down the list....
The problem will show up if you see something like
Dragon Age Inquisition... 80.99 whatever memory whatever memory etc etc Bioware/EA
System(or really anything other than system Idle) 16.00 etc etc etc
Which would mean you have something with Windows or related components using 16% of your CPU when you are trying to play DAI... If you are getting 2-5% you will probably be ok, but you don't want to see one topping 10% by any means when trying to play and preferably below 5%....
I have read somewhere that Intel has a page filing process used with SSds that has a habit of doing this...is supposed to be used when drives are used in RAID if I am remembering correctly, and thus can be disabled to free up processor power...can't find the thread on here that mentions the process and how to disable it. I have recently helped an user track down an issue with xboxlivestat.exe which was installed when he installed his wireless xbox controller, and it used CPU and accessed a HD causing slower games but just not as noticeable until he hit DAI.
If you want to see the thread where I helped the last guy on it is here.....http://answers.ea.com/t5/Dragon-Age-Inquisition/Low-unplayable-fps-after-hardware-upgrade/td-p/4349686