Hi Garth -
The ACS PUMS has a Place of Work PUMA code (POWPUMA) that identifies work location, but the geographic specificity is far less granular than LEHD/LODES. If by "finer detail" you mean worker characteristic detail, PUMS may be helpful.
I do not know of any resources that have a finer level of spatial detail than LEHD/LODES (including from private vendors--they may offer address-level jobs data, but I have never seen a product that links that level of spatial employment detail with the respective workers). If such a thing exists, hopefully someone else here will know.