I tend to agree with Clair.
If the vet says it's nothing urgent and Little is still eating and moving around ok, then just continue to support him with pain meds and syringe feeding for now.
If you are concerned about his peeing them pop him in a box/washing basket with a white towel or puppy pad underneath and see what happens. At least this will tell you if he is still passing urine.
When Ruby had a full blockage she wasn't eating or moving, and when the vet gently manipulated 'down there' all that came out was a tiny bit of bloody sludge. The vet (a specialist) said that usually at least a few drops of urine would come out, so it was clearly a full blockage and was an emergency (she was rushed back for surgery immediately). The fact that urine is still coming out seems like a good sigh.
I would stop manipulating the area to prevent swelling and worsening the problem.
The smell could also be linked to a urinary infection, so maybe this is the issue.
Keep doing what you are doing and hopefully he can be seen asap on Monday by Simon.