You can find a whole bunch of public land info and maps here -
http://www.dnr.state.md.us/huntersguide/publiclands.asp
http://www.dnr.state.md.us/huntersguide/sfppublichunting.asp
http://www.dnr.state.md.us/publiclands/all.html

Here is some of the info concerning the countys you mentioned -
Frederick
Frederick City Watershed CWMA- 7,300 acres- Furbearers, forest game, upland game, and deer (bow, muzzleloader, shotgun and rifle). Free permit required to hunt furbearers at night. 301-842-2702
Heater’s Island WMA- 194 acres- Furbearers, forest game, waterfowl and deer (bow, muzzleloader and shotgun). Boat access only. 301-842-2702
Monocacy NRMA- 1,800 acres- Forest game, upland game, waterfowl, dove and deer (bow, muzzleloader and shotgun), no trapping. 301-924-2127
Thurmont Watershed CWMA- 300 acres- Furbearers, forest game and deer (bow, muzzleloader, shotgun and rifle). 301-842-2702

Carroll
For information on the following areas call: 410-356-9272 between 7:30am - 11:30am
Avondale WMA- 180 acres- Forest game, upland game and deer (bow, muzzleloader, and shotgun). Free permit required.
Farver CWMA- 23 acres- Deer (bow only). Free permit required.
Hahn CWMA- 25 acres- Deer (bow only). Free permit required.
Hanover Watershed- 337 acres- Forest game, upland game and deer (bow, muzzleloader, shotgun and rifle. Free permit required.
Maring CWMA- 237 acres- Forest game, upland game and deer (bow, muzzleloader and shotgun). Free permit required.
Morgan Run NEA- 1,300 acres- Deer (bow and muzzleloader). DNR Managed Hunt Permit required. 410-461-5005
Raincliffe CWMA- 35 acres- Deer (bow only). Free permit required. Saturday only.
Sawmill CWMA- 500 acres- Forest game, upland game and deer (bow, muzzleloader and shotgun). Free permit required.
Slacks CWMA- 135 acres- Deer (bow only). Free permit required.
Speigel CWMA- 250 acres- Forest game, upland game and deer (bow, muzzleloader and shotgun). Free permit required.
Woodbrook CWMA- 522 acres- Forest game, upland game and deer (bow, muzzleloader and shotgun). Free permit required.

Washington
Indian Springs WMA- 6,750 acres- Furbearers, forest game, upland game, dove, waterfowl and deer (bow, muzzleloader, shotgun and rifle). Disabled accessible. 301-842-2702
Prather’s Neck WMA- 215 acres- Furbearers, forest game, upland game, dove, waterfowl and deer (bow, muzzleloader, shotgun and rifle). 301-842-2702
Sideling Hill WMA- 3,100 acres- Furbearers, forest game, upland game and deer (bow, muzzleloader, shotgun and rifle). 301-842-2702
Woodmont- 2,400 acres- Furbearers, forest game, upland game and deer (bow, muzzleloader, shotgun and rifle). Disabled accessible. 301-842-2155