The amperage flow rate will be limited by the battery's internal resistance as well as the resistance of the wiring. The alternator may be capable of producing 116a, but if the wiring and battery limit the flow rate to 10a, then that's what will flow.
Sure, a 95a rated unit will be more than enough.
...
...
Current: 76 E-250, bubble-top, self-contained|couple of old Yamaha enduros
Previous wheelers: 41 Willys|78 FJ40|78 Bronco|84 Bronco|74 Ramcharger|78 Ramcharger|79 D150 PowerWagon|77 D100|79 D400 dually, converted to 4WD, utility bed, 10' Lance|75 Westy|69 Scout, RHD|bunch of others|bunch of bikes|couple of boats|couple of motorhomes|blah blah|so what|not my idea|just doin' what I'm told|wank wank|this space for rent|candy is dandy|but liquor is quicker