Can I infuse my own raisins?
I am not sure what you mean by lime-infused raisins but let me explain what I do to my raisins for scones.  I usually soak them in Gran Marnier Liquour, anywhere from 4 hours to 24 hours.  I put the raisins in a glass bowl or big cup, covering the raisins with the Liquour.  It depends on how much flavor I want the raisins to have.  Then I strain the raisins and set aside the liquour for either another receipe or someone usually wants to drink it.  I put the raisins in the scones.  My nieces and nephews just love them, their moms tell me because it's just like eating booze, and of course, when I make it for them, I do use more raisins and soak them more than 24 hours for the flavor. I use the white raisins.   Now for your question.

YES I do believe that if you squeeze enough fresh lime juice to cover the raisins, you will achieve your goal.  My only tiny problem is that the lime juice might break down the raisins because of the acidity in the lime juice. So, what I would do is try one cup of raisins, cover with fresh lime juice and check in 2 hours, if ok continue, if you want more flavor wait 2 more hours and check again and make sure not only for flavor but for the break down of the raisins due to the acidity.  What raisins did you eat?  White, red, concord, there are so many types, that I am not sure which would hold up to the acidity.  

Now for the drying. Put them in a very low temp oven, 200 degrees about one hour, checking every 20 minutes, checking to make sure that they do not burn or put in a food dehydrator. Then let them cool. Look this up on Google also.  I am giving you my own experience.  My Auntie used to soak her raisins for some of her cookies in Brandy, Whiskey, Vodka and whatever liquour she thought would be interesting.  She was an excellent cook and baker and owned a restaurant.  Her booze soaked rice raisin pudding was awesome.

The old way and even today is to put outside on mesh, covered on both side with cheesecloth so insects and birds or other undesirables will not get to.  This might take a little while,  a few days to a week or two depending on hot it is outside. I would check this every day or so also.

You could also let them stay plump, leave in the fridge, and take out and eat what you want as you want it.  A little juicy but still tasty.  Sounds delicious and in a fruit salad.  I bet this would be awesome.  I have a lemon tree and white raisins and will try this out myself this week.  I bet this will be a big hit!  Good Balance with sweet fruit.  Hope this info helps you.