Thanks for discussing your concerns with us.
I don't know which tests you have had to exclude DVT ( Deep vein thrombosis
) & how reliable are the reports ( this depends on laboratory & expertise of the doctors doing the tests) but still your history is very much in favor of DVT.
I think you must follow the advise of your treating doctors as they are more aware of your problem. LMW heparin
is not likely to effect INR & does not usually predispose to a bleeding tendency you can even continue this till the end of your pregnancy
if recommended by your doctor.
On the other hand stopping it without your doctors advise may lead to serious consequences.
Hope this is a helpful answer for you.
Wish you good health.