James McArthur found time and space beyond the Inverness defence, but his tantalising ball found no takers.
After a quiet spell in the second half, Bale found the bottom corner, before James McArthur chipped a consolation.
Derek Lyle then saw a curling effort drift past Ma-Kalambay's right-hand post before James McArthur's shot was deflected wide.
Richard Foster's clearance was collected by James McArthur, whose mis-hit shot found its way to Antoine-Curier and the striker slotted past Langfield.
But they hit back with Tony Stevenson's free-kick ripping through a poorly assembled defensive wall and James McArthur nudged them ahead with an arm.
Accies' James McArthur should have scored when he knocked the ball wide of an empty goal after Saints keeper Paul Gallacher had mis-hit his kick-out.
BBC: Alex Neil (r) and Steven Thomson in action at St Mirren Park
Hamilton were on top in the second half, with Hibs keeper Yves Ma-Kalambay kept busy and James McArthur shooting wide with the goal at his mercy.
Hamilton's James McArthur flighted in a searching ball as injury time beckoned, but Elebert's header failed to reach the target and the sides shared the points.
BBC: Hamilton's David Elebert (left) tussles with Sone Aluko
James McArthur was next to threaten after picking up a pass from Joel Thomas, but his angled drive was cleared off the line by Motherwell captain Stephen Craigan.
The Belgian keeper was involved again when he had to push away a fizzing effort from Mark Corcoran and James McArthur mis-hit the rebound wide from a promising position.
Hamilton pressed the runaway league leaders whenever they were in possession and, with Alex Neil and James McArthur the architects, built a game around precise passing and breaking at pace down the flanks.
The Republic of Ireland Under-21 international sent a magnificent reverse pass into the inside-right channel for James McArthur to run on to but the midfielder's shot was too weak and was held by Olejnik.
James McArthur could have doubled Accies' lead just before the game entered its final 10 minutes but, after weaving in from the right to a good position in the box, he fired over the top-left corner.
With McArthur set to visit Wigan with a view to a summer move to join former team-mate James McCarthy, Accies fans will have been encouraged by the performances of substitutes Kyle Wilkie and Ali Crawford.
BBC: Hamilton worthy of Ibrox point believes boss Billy Reid
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