Here are the battleground states with abbreviations (to match them up with the map in the OP) and closing times. These categories are somewhat arbitrary and you could shift several into other categories or even take a couple off the board or maybe put one or two others on depending on if you want to be aggressive or conservative. The times I have listed are when the final polls close in each state. It can take a long time to count results after that, so be patient.
The major battlegrounds:
Ohio (OH) - 7:30 EST/12:30 UTC.
North Carolina (NC) - 7:30 EST/12:30 UTC
Florida (FL) - 8:00 EST/1:00 UTC. Most polls will close an hour before but there will be no calls until after the final poll closings.
New Hampshire (NH) - 8:00 EST/1:00 UTC. Again some polls will close earlier. There are even one or two small towns (I mean really small, like 50 or so people combined) who have a tradition of voting at midnight and reporting their results immediately, so the first incredibly early (and incredibly meaningless) returns will come in a little after 5:00 AM UTC.
Nevada (NV) - 10:00 EST/3:00 UTC. Polls indicate a very close race, but the demographics and partisan composition of the early vote look good for Clinton.
States where a Trump victory likely indicates bad news for Clinton:
Virginia (VA) - 7:00 EST/12:00 UTC. Beware that this takes a long time to call usually because the Democratic strongholds in Northern Virginia take a long time to count. Early returns will likely show Trump with a nominal lead with Clinton surging ahead later.
Pennsylvania (PA) - 8:00 EST/1:00 UTC
Maine (ME) - 8:00 EST/1:00 UTC. Maine shouldn't be that competitive, but they do have a provision for splitting their electoral votes by congressional district. Long story short, Trump is unlikely to win but could win one of its four electoral votes.
Michigan (MI) - 9:00 EST/2:00 UTC. Actually almost all the polls will have closed an hour earlier so we may have an idea how it's going before that. Only a few rural areas wait until 9:00.
Wisconsin (WI) - 9:00 EST/2:00 UTC
Colorado (CO) - 9:00 EST/2:00 UTC
States where a Clinton victory likely indicates bad news for Trump:
Georgia (GA) - 7:00 EST/12:00 UTC
Arizona (AZ) - 9:00 EST/2:00 UTC
Nebraska (NE) - 9:00 EST/2:00 UTC - Like Maine, this isn't really contested but has provisions for splitting its electoral votes by congressional district, and Clinton has a shot at taking one of its five votes.
Iowa (IA) - 10:00 EST/3:00 UTC
Utah (UT) - 10:00 EST/3:00 UTC - This is an unusual case. Utah is one of the most Republican states in the country but Trump is unappealing to the largely Mormon population. Evan McMullin, a Republican running as an independent, has been polling strongly and could take the state or take enough Republican votes to give Clinton the victory.
Any other results would be pretty big surprises. If, say, Clinton wins Missouri (MO) or Texas (TX) or Trump wins Minnesota (MN) or Oregon (OR), that's probably the election right there barring some wacky results elsewhere.
Note that if Trump wins every state he's supposed to (including the ones like GA or AZ that I listed) and wins every major battleground, that gets him to a 269-269 tie (which would probably be resolved in his favor by the House of Representatives but that's a whole story of its own). Add in the one vote from Maine or any state from the "Clinton should win list" like VA or PA then he wins. But the long story short is that Clinton has many paths to victory and Trump has few. If she wins even one of the major battlegrounds then Trump needs to pull off an upset elsewhere.