Hey bismarck here is the advice I have for you. I know exactly what your dealing with because I just had the same problem. I had to go to the chiropractor which is one thing you might consider. They can give you this little electro shock therapy on your elbows, im not sure how much that actually helps but you can look into it.
First off, what are your warmups like? you need to get some serious blood flowing throughout your body. You should get some elbow wraps and use something like aspercreme before you put them on. This will get some serious heat going on your joints. I would personally recommend laying off bench for a while. The bench press puts a lot of stress on your wrists because they are immovable and your shoulders are also in a locked position. Just forget about it for a while, it will always be there but there is no point in benching week in and week out trying to get pr's.
You should look into getting some flex bands, you can do all kinds of things with them that can get good blood flow to your elbows, very therapeutic. You should also look into icing the elbows after training. You can get ice wraps or you can freeze water into stirofoam cups, the peel back the stirofoam and ice away, very effective. You need to stretch a lot also. Stretch the triceps and the forearms, avoid supinated dumbell curls or barbell curls and any kind of forearm training. You will be fine but it may take awhile. Forget about lifting so heavy cuz it will prolong your injury. Trust me, you can still get jacked with band pushups and weighted pushups. Regardless of what you do, try not to do exercises that aggravate your problem.
Hopefully anything I said can do you some benefit.
Best of luck.