I'm inclined to think that your concerns are unfounded -- the differences between the libapr versions you've got should be non-existent. The big soname change for libapr was way back in version 0.9, and since you've got a newer version, it should be backwards compatible with the older version your module needs.
If you do think you need to force it, I'd say you might be able to force it in with LD_PRELOAD without breaking, but in practice I wouldn't risk it on a production site. You certainly can't load both versions at once, you'll get symbol collisions. I'd be fixing the module.