If there is an excess of 5.000 feet of runway, that means that you are:
i) Taking off very very light
ii) WAT or SSLW limited
iii) Limited by very close obstacles.
For i) case you could equal V1 to VR. Let say your ATOM is 52T and your OTOM is 80T( RLW). If your actual V1 is 112 KIAS, VR 116 KIAS, Why donīt increase V1 to 116 KIAS if V1 for OTOM is 130 KIAS?
For case ii) you can increase V1 according your AFM-OMB and use an ICP procedure if approved by the manufacture.
For case iii) no solution.
In all the cases above, V1 must be calculated prior to take off, the speed must be fixed. Above V1 you must go. But remember that you can set different speed for diferent scenarios.
When I take off very light I always increase V1 tro VR, for me is much safer to RTO with an excess of 5.000 feet than became airbone with an engine failure or any other major malfuction and fly for 15 stressing minutes.
If the take off is runway limited I will stick to the normal V1 and be Go-minded