I had the same setup, LHT w/Ti Jones H-bars 4-5 years ago. I liked them a lot for short rides / commutes, but after 500+ miles I started to have some nerve issues in my hands due to pressure points. Maybe you've tried the bar and it works, cool, but if not, I'd recommend some Ergons grips.
Also, bars level w/saddle or a bit higher.
Depending on how big of a bag you want, you could easily mount a small bar bag, Rivendell has some that may work as do others.
Sorry for the unsolicited feedback.