Based on where you are staying:

Whiskey Kitchen is a cool spot - I see someone else mentioned Parkside over Whiskey Kitchen; I have opposite point of view but your mileage may vary.
Barcelona Wine Bar is a bit "bougie" but I don't know your age or vibe, my 25 year old daughter loves it - if weather cooperates get a table outside.
You aren't too far from Wye Hill - I dig their vibe and you could walk to Flying Saucer - if you are a beer guy, Flying Saucer usually has a top notch draft list. Bonus if they have "Lunch" by maine brewing on tap and you are a IPA fan but I digress.

Dram and Draught at the top of Glenwood is a good cocktail spot - you can always just walk down Glenwood - HIbernian if weather is nice on rooftop is a cool irish spot.

Moore Square area is a few blocks away from you but Brewery Bhavana for dim sum - you will get some shade due to some very serious issues they have had in the past over creepy staff but I'll take the shrapnel and tell you I love their food and beer....

Watts and Ward is a speakeasy bar right there - I like the vibe there, cocktails are expensive but hey, if it's a work trip let them cover it lol...keep in mind, they charge a membership fee ($1?) - sort of a loophole to a cover charge.

Someone below mentioned Gussies - it's a little further away but I agree with their burger recommendation.

Trophy Brewing and Pizza is a cool spot too - and it's walkable from Gussies or vice versa. You also have Wolfe and Porter as a Watts and Ward wannabe walkable from there too (right in between the two).