You could use negative staining using India ink or nigrosin to capitalize on the distinct capsular properties of Pichia pastoris to differentiate it from gram-negative bacteria in a co-culture. Viability stains which distinguish live and dead cells and autofluorescence adjustments are other avenues to explore.
Considering your requirements for a quick, easy, and cheap method to distinguish between Pichia pastoris and gram-negative bacteria in a co-culture using flow cytometry, I would suggest exploring the use of differential staining techniques that can be applied directly without additional processing. Specifically, you could utilize the principles of negative staining to capitalize on the unique capsule properties of certain yeasts and bacteria. For example, staining with India ink or nigrosin can create a halo effect around encapsulated cells like Pichia pastoris, distinct from gram-negative bacteria which would not produce a halo.
Differential staining such as the viability stains that differentiate live and dead cells based on their membrane integrity might also offer a potential solution. Live cells could be stained green, while dead cells would appear red. However, this approach may not exclusively distinguish between your two cell types unless there are differences in membrane integrity that can be exploited. Lastly, experimenting with autofluorescence by adjusting flow cytometer voltages might reveal differences not immediately apparent. The difference in the genomic size could potentially be leveraged using DNA-binding dyes. Keep in mind that the sample concentration and processes should keep costs below your threshold.