Since photographic papers have builtin contrast, you can use pretty much any developer formula and will get comparable results. Since developers based on Hydroquinone, Metol, p-Aminophenol, p-Phenylenediamin and Glycin need Sulfite to scavenge oxidized developer, you are essentially limited to Phenidone+Ascorbate formulas. Metol+Ascorbate could work as long as there is enough Ascorbate to restore oxidized Metol.
Therefore you could start with the following formula, assuming you have the chemicals:
0.1 g/l Phenidone or 1 g/l Metol
5 - 10 g/l Ascobic Acid
10-30 g/l Sodium Carbonate or Triethanolamine or Sodium Metaborate
If you have Salicylic Acid, you could add a few g/l to your developer to make it last longer. If the developer fogs your paper, add either Sodium Bicarbonate or Acetic Acid to bring down its pH, or add 0.5 - 2 g/l Potassium Bromide to reduce fog while maintaining its speed.