The best brush on solution we figured out during our ukulele adventure was KTM9
http://www.lmii.com/carttwo/thirdproducts.asp?NameProdHeader=KTM+Product+Line+%96+Water+based+Finish
We got it from LMII and we got a great result from a not so great application method (brushing).
Slightly off topic, what's the profile like on that neck? Marc's standard is something he calls a lazy V, close to a C, but I'm not sure what that'll fell like.