Meanwhile, the hosts have lost their last five league matches in a row and sit rock bottom of the table.
Defeat on Saturday was their 10th in the league this season from 13 matches, which means that Rice's side are now four points adrift at the bottom of the Scottish Premiership with St Mirren, who are one place above them, having a game in hand.
The Accies head into their fixture with Aberdeen with a poor home record, as they have won just one of their last 11 home league games – losing eight and drawing the other two – and they remain the only team without a home win in this season's Scottish Premiership.
Hamilton have also lost seven of their last eight league matches against Aberdeen, winning the other 2-0 at Pittodrie in February 2019.
Victory on Wednesday would see the Accies win for the first time since September 12. They would remain bottom but would close the gap between themselves and St Mirren to one point.
Aberdeen boss Derek McInnes will be looking to put last weekend's heavy 4-0 defeat at Rangers behind him and hopes to bounce back with a victory on Wednesday night.
The Dons struggled to compete with a rampant Rangers side at Ibrox, having had only 29% possession in the game, their lowest percentage with the ball in the Scottish Premiership this campaign.
Aberdeen are likely to control the game more against Hamilton who they have a good record against in recent seasons, winning their last three league visits at the Fountain of Youth Stadium – with all three of these being a midweek fixture.
The Dons will be missing key midfielder Lewis Ferguson as he is self-isolating and following coronavirus protocols. The former Accies man has been in fine form this campaign, scoring eight goals from 12 league matches including a strike in their 4-2 victory over the Accies in October.
A victory against Hamilton would see the Dons secure their first away win in three matches and close the gap on second placed Celtic to just one point.
Hamilton Academical Scottish Premiership form: DLLLLL
Hamilton Academical form (all competitions): LLLLWL
Aberdeen Scottish Premiership form: DWDLWL
Aberdeen form (all competitions): WDWDWL
Brian Rice may stick with a back three, which he has used in the previous two league matches, with defender Ben Stirling set to keep his place in the starting lineup.
Aberdeen trio Lewis Ferguson, Ross McCrorie and Connor McLennan will all miss Wednesday's match as they are all self-isolating and following coronavirus protocols.
Dylan McGeouch and Jonny Hayes are both ruled out with groin injuries, while Marley Watkins is also unavailable as he is suffering with a hamstring problem.
Hamilton Academical possible starting lineup:
Fulton; Stirling, Odoffin, Want; Hodson, Callachan, Martin, Mimnaugh, McMann; Ogkmpoe, Moyo
Aberdeen possible starting lineup:
Lewis; Hoban, Taylor, Considine; Logan, Leigh, Ojo, Kennedy; Hedges, Wright; Cosgrove
We say: Hamilton Academical 1-3 Aberdeen
Hamilton need to pick up points quickly before the gap at the bottom of the table increases. The Accies will want to give a good account of themselves, but Aberdeen should have the quality and attacking threat to cause the home side problems once more.