I agree. You can still obtain your visitation but you really need to go to www.in.gov and download a copy of the Indiana Parenting Time Guidelines for your reference. To be honest, parenting time would need to be phased in since you reside in Texas.
Can this be done cheaply? Uh, probably not. It sounds as if not. You make it sound like the mother is unflexible to you getting to see your child period. Is that correct? Or is she just objecting to the child going to Texas? But, cost should be the least of your worries (I know, easier said than done).
Where do your relatives reside? Indiana or Texas?
With that being said, continue to pay support and provide for your daughter. Continue to call and correspond with her. Do the both of you have a computer system with internet access? Then maybe you could do video messaging to stay connected.
Is there any current orders for visitation? What are they?
I know if she only went through Child support bureau then (at least in my town's county) orders a quick "liberal visitation" type thing for paternity.
Also, FYI, I am a mom with a paternity case. I want you to know that Indiana does have two statutes...one for divorced situations and one for paternity. Paternity is still old-fashioned however, the Indiana Parenting Time Guidelines apply to either situation. That is where I recommend you start. Read those, get to memorize those. Also on the state's website you can download forms to fill out to modify visitation.
Duct tape can't fix stupid but it can keep them out of the way."