Is tramodal 50mg a safe and effective alternative to treat pain post op a full tummy tuck?

It certainly can be, but I would suggest using 100mg and combining it with Tylenol. 
There are also some other pain protocols were you can take a Cox-2 inhibitor pre-operatively, IV Tylenol, addition of some benzodiazepines, anti-inflammatories, Toradol, use of local, and regional pain blocks with local anesthetics. There are a LOT of options. 
Sit down and discuss it with your surgeon and come up with a plan and also come up with what would be a back up plan in case Plan A is not as effective as you hoped. We all have different pain receptors and rates of how we break down medications etc. There are also huge difference in effectiveness between how patients respond to drugs.
Also don't completely count out narcotics, because there can also be a place for an opioid with the other medications too, but with limited use. Key to pain control is stagger medications so you always have something on board so to speak.
With any of these techniques remember to eat a TON of fibre--60 g every day for several days prior to your surgery to help with post-operative constipation and afterwards. Raspberries are very high in fiber offering 8g per 1 cup!

Tramadol is definitely safe for use in patients to choose not to use narcotic analgesia.  By saying you're having a full abdominoplasty,  I anticipate you're having your muscle tightened which is the painful part of this operation.  One of the options is called a TAPP block which is a local anesthetic block to the  anterior abdominal wall musculature done under ultrasound guidance.  Once this is placed and especially if it is done with a medicine called Exparel, the tummy wall is numb for 3 days postsurgically when the greatest  pain is reported.  Some surgeons have ultrasound capability but most anesthesiologists can do this as well.  When I put these in my patients they typically don't require any narcotic use.  The medicine is expensive, but worth it.  If the anesthesiologist is doing it, they usually do it before the surgery, and will usually charge a fee for the procedure as well as the medicine.  I put in my own TAPP blocks during the operation with ultrasound guidance, and only charge for the medicine, but not placing it.