I ended up adding the following CSS to my theme stylesheet, and this seemed to work well enough.
.tribe-tickets-meta-field-header {
display:inline !important;
}
header.tribe-tickets-meta-label {
display:inline !important;
}
.tribe-tickets-meta-required header:first-child::after,
.tribe-tickets-meta-required label:first-child::after {
display:inline important;
}