Thai Van Lun near Le Thanh Ton
I have seen a couple of bars in this area but never seen anything really attractive inside. Never seen a place called Su's. There is a popular Karaoke called Papa's but the girls don't seem to do much more than sing.
The billiards bar near to Camargue Restaurant has an upstairs room that is pretty private but it has a billiard table and the mama is greedy. Pity - there are some nice girls there.
I have also noticed a loud disco type place opposite the Wild Horse Restaurant. The pickings at about 10 pm did not have a lot of class so I moved on.
New World and small hotels
There has been speculation about taking girls from Catwalk to New World without going downstairs but we never got a clear answer. Same speculation about Renaissance and Club Royale.
Be aware that girls from Catwalk and Club Royale are high end primma donnas - US$100 and up for short time and don't mess up my makeup etc etc etc.
If you stay at New World you can probably get an entertaining room nearby for about $20.
New World is quite a ways from the centre of District 1 around Dong Koi - too far to walk on a regular basis.
There are a number of small GF hotels around Mac Thi Boui, Thi Sach, Dong Do etc. Look at backpackers websites for places less than US$30.
Not going to give names here for obvious reasons.
The GF hotels will keep the girls ID until she leaves and they will call you to make sure everything is OK when she does leave. If you bypass recption at the big hotels you will not have this security.