Hi Doug,
No studies I am aware of but I used to do it at the last club I was at. We would triplex-roll right after the sprayer went across the green. I figured it would help distribute the foliar material across the leaf and get everything else at least to the mat interface to give it a better opportunity to make its way into the profile. I never saw any adverse effects from it but have not done it here, yet
Depending on what type of roller and what you are spraying I can't see it hurting anything but I know very little.
Let us know how it goes if you decide to try it......