i Register
In some senses, bedrink is marked as archaic. Watch for register when choosing this word.
verb
To drink in; drink up; drink to the fullest
[...] not far from Tophana — the place of cannons — and doth there foolishly, selfishly, and sottishly bedrink himself unroyally drunk with bottle after bottle of champagne, [...]
"Thus the unsteady woman [bedrinks] intoxicates the firm and resolute man."
to get drunk
That "moreover it behooveth to scourge all such heretics as would have it that these herein-afore-mentioned swineherds had bedrunk themselves and did cunningly adduce this tale of witchery to the end that they might escape meet [...]"