Look for ways to open out the hips.
Lotus, half lotus.
Frog or variations of, Cobra with legs wide apart.
Of course there are a multitude of variations you are only limited by your imagination.
Any of the bird postures that involve the hips to rotate etc.
Warrior poses, although demanding can be practiced with props to make it easier for you, again step out of the box as long as you listen to your body you will be safe.
It's the ego part in us will pushes you further and that's when damage can be done.
So you stay in control not your ego.
All styles of yoga can do a great job of strengthening, but the focus is generally on maximizing flexibility, which we believe has its limits.
The body simply wasn't designed for unlimited passive stretching without proportional strength in the passive range, and pain is often a sign of weakness.
If you hurt going into Downward Facing Dog, the problem may not be lack of flexibility in the spine and hamstrings, but lack of stabilization in the hips and abdominals.
When a muscle is in a range it can't control, reciprocating muscles move in to compensate, potentially leading to pain and tightness from overuse or incorrect use.
The reciprocal muscles tighten to protect the stability of the weak muscle, and all the stretching in the world will not loosen a muscle that is being told by the body to tighten.
The muscle is tight because it needs to be tight, so the problem is not the lack of flexibility in the stretching muscle but weakness in the muscles that support the stretch.
The answer is to address the strength in the weak area to alleviate the pain, and allow the flexibility in the opposing muscles to follow.
Continue gently with your practice making it stronger and deeper when you are ready.