First strip, then depending on the condition of the bare wood, refinish clear, re-enamel or wrap. If you decide to wrap, first make sure heads will fit over the added thickness.
Those Broadcaster snares would seem to be under-valued at the moment, as compared to RKs, Rogers or later RBs, which is just stupid!.
I paid $495 on ebay for mine a year ago and consider it a super bargain. The pics will show it's condition.
The same drum as mine... with re-rings... recently went for $315, though it was apparently not in quite as good condition as mine, judging from the seller's poor pics.
http://www.ebay.com/itm/260837390166?ssPageName=STRK:MEWAX:IT&_trksid=p3984.m1438.l2649#ht_500wt_1057
Given the poor condition of your enamel, I don't believe refinishing will detract from the value or lessen it's salability. In fact, a high quality re-enameling would probably increase it's value.
They are great sounding drums. Of my three RBs... 14x4 and 14x5.5 six ply.... my 1947 6.5 three ply is my favorite. In fact, preferable to any of my three RKs
I acquired the 1939 RK shown below already refinished. A really superb job... possibly by a high-end auto refinisher... indeed better than the original.
Ron