There's also a toile/leather messenger/sling bag called the Luco. I noticed you're in Europe, so you may get sac a petite ceinture for less than $2000. Not all leather, I know, but thought you could use some options.
Hej AL,
you could visit the shop in Copenhagen, they normally carry quite a few of the 'cheaper' H-bags.
Picotin start at approx. EUR 1.300
Evelyne EUR 1.400
Garden Party(toile) EUR 1.100
Valparaiso( toile) EUR 1.000
Mangoire EUR 1.150
Acapulco (not leather) EUR 1.000
Lycka till!