ESPN has him ranked as the 44th best prospect on their site. I just looked at a few 2 round mock drafts and didnt see his name anywhere (its hard to find 2 round mock drafts, most just do round 1). I can see someone taking a chance on him late in round 2 though. At worst, he signs on a team's summer league roster and hopes to earn a roster spot.
two-round mocks I found that aren't behind a paywall:
si.com: Clippers at #50.
walterfootball.com: Clippers at #48.
draftsite.com: Cavaliers at #40.
nbadraft.net: undrafted.
nbadraftroom.com: undrafted. (they have nba comparables for many draftees, including some like Bazley they have on the bubble: his is Robert Covington.)
fantasypros.com: Timberwolves at #43.
basketballsociety.com: Knicks at #54.
tankathon.com: Pacers at #50.
I'll let you decide which of these sites are credible. My impression from past drafts is that nbadraftroom has been pretty good, which is a bit of a mixed bag for Bazley--on the one hand they don't have him getting picked, on the other hand they think he might be Robert Covington, which wouldn't be a bad career path.
There probably isn't a player in this draft for whom performance at the combine matters more...partly just from the uncertainty surrounding someone nobody's seen play in a year, partly from the reading of his psyche clubs will get from whether it looks like he's been working hard.