Do you homework before you run without a bypass.
The stock chevy oil filters do NOT have an internal bypass, just a check valve for bleed down. They use the bypass in the oil adapter on the block.
Fords and Chryslers are the ones that have the bypass and check valve in the filters.
The stock oil pump creates enough flow and pressure that it is going over relief a lot of the time anyway, so the higher pump will be more so. Both the block relief and the filter reliefs are set at about 12 psi.
You have several options.
Put washers under the bypass spring, or plug the bypass, or plug and drill a hole in bypass plug, and:
Go back to the cannister (pre68) type filter, more messy, but it is ALMOST a full flow filter, as is the 2 quart truck filter if it fits. The problem here is that they filter around 25 microns vs the 18 of the stock spin ons. You also have no way of knowing when they plug up (the cannister type won't blow).
There are mesh type oil filter screens available that you just wash out.
Wix makes 2 lines of racing filters and the difference here is the stock filters have a case burst of around 200psi and the race has a case burst of over 500 psi and better and more free flow filtering medium. Cost anywhere from 10 to 25 bucks.
Another option is to go with a secondary bypass filter system that filters down to a couple of microns, but there isn't much room in a C3 fir that setup. Miltary, yacht and over the road engines have types of these and they work very well.
This is all a good case for using the lightest vicosity oil possible.
There are all kinds of adapters and filter combos available, so just do a lot of research before you decide to block the bypass.