The meeting at Mizpah (1 Sam 10:17-27) declares there is a sovereign God who achieves his purposes despite a rebellious people. Ben-Barak considers this section to be on par with the events of Sinai (Ex 24) and Shechem (Josh 24). The tension of the entire passage is one of God agreeing to provide a king, which is in his plans, yet the motivation of the people to ask for a king, is clearly condemned. Samuel seeks to communicate the people’s rebellion as he makes clear God’s sovereign choice of Saul, their new king. Critical scholarship is in consensus that this section is a continuation of chapter eight many consider הַיּ֜וֹם (this day) ‘as a reference to the same day on which the request was made in the assembly’ (8:4-22). Goldingay believes God used compilers who merely placed various stories end to end without any concern with how they are linked. Many point to the ‘deuteronomistic historian’ to have compiled this section. It seems that such a view imagines an editor who is ‘particularly clumsy’. It seems more likely that this section follows the previous events (9:1-10:16) where ‘the secret choice of God’ through anointing, is ‘made public’ by lot. The transition from a positive light in the selection of Saul to ‘a more dim view of kingship’ that follows merely emphasises the tension desired by the author. 
Scroll down to the end for a link to the rest of the essay on the topic
The full question:
Provide an exegetical paper on 1 Samuel 10:17-27.
These books are ordered from the most useful to the least used resource in my research. There are a few journal articles and websites at times as well. (scroll down to the end for my essay on the topic)
1 & 2 Samuel – Firth, David G.
1, 2 Samuel – Bergen, Robert D.
The First Book of Samuel – Tsumura, David Toshio
1 & 2 Samuel: Hope for the Helpless – Reid, Andrew
1 Samuel – Klein, Ralph W.
1 & 2 Samuel: A Commentary on the Wesleyan Tradition – Mellish, Kevin
1 Samuel: Looking for a Leader – Woodhouse, John
1 and 2 Samuel – Chisholm Jr., R. B.
1 & 2 Samuel: A Commentary – Gordon, Robert P.
First and Second Samuel – Peterson, Eugene H.
1 Samuel – Phillips, Richard D.
1 Samuel: Looking on the Heart – Davis, Dale Ralph
Notes on the Hebrew Text and the Topography of the Books of Samuel – Driver, S. R.
1 Samuel: A New Translation with Introduction, Notes and Commentary – McCarter, P. Kyle
1 and 2 Samuel: An Introduction and Commentary – Baldwin, Joyce G.
1 Samuel – Campbell, Antony F.
1 Samuel For You – Chester, Tim
The First Book of Samuel – Ackroyd, Peter R.
The Message of Samuel: Personalities, Potential, Politics and Power – Evans, Mary J.
A Biblical Hebrew Reference Grammar – Merwe, Naudé & Kroeze
1 Samuel – Murphy, Francesca Aran
New Bible Commentary – Carson, France, Motyer & Wenham
1 and 2 Samuel: The NIV Application Commentary from Biblical Text to Contemporary Life – Arnold, Bill T.
A Guide to Biblical Hebrew Syntax – Arnold & Choi
First and Second Samuel – Brueggemann, Water
1 Samuel as Christian Scripture: A Theological Commentary – Chapman, Stephen B.
Commentary on the New Testament Use of the Old Testament – Beale & Carson
Kingship of God in Crisis: A Close Reading of 1 Samuel 1-12 – Eslinger, Lyle M.
1 and 2 Samuel for Everyone: A Theological Commentary on the Bible – Goldingay, John
A Grammar of Biblical Hebrew – Joüon & Muraoka
Dawn of a Kingdom: The Message of 1 Samuel – Keddie, Gordon J.
A Son to Me: An Exposition of 1 & 2 Samuel – Leithart, Peter J.
Introducing Biblical Hebrew – Ross, Allen P.