Re: Would it be safe to take my 14 foot semi- v-bottom out on a bigger lake.
Broken Arrow (from the maps) is much like the impounds we have around here. The short answer is, yes you can do it.
Some things to watch: First, mind what weather you're comfortable in. Close in to shore here in TN, I'm terrified of waves that are getting into the 2' tall range. There are too many rocks and things that'll bash a hull and possibly me. More toward the middle of the lake, I'd be fine fighting 4' waves for a while. Know where you're not confident and don't get into that situation.
Second, learn the weather patterns that have the potential to drop storms on you. Like my area (and even more so), you'll get those crazy pop-up storm cells that are small but violent. I've gotten caught by one of those once, and it actually scared me quite a bit. NEVER saw anything like it up on the Great Lakes in over 20 years.
Third, have a plan in mind: if things get crazy here in TN, there is always a cove that will provide shelter from wind close by. There's also usually a marina within a mile or two. Broken Arrow looks to have those same sort of things, and a leeward peninsula can really save your bacon when the weather gets nuts.
Finally, when things start getting a bit dicey ... grab a life jacket and put it on. Just in case.
Otherwise, I'd be willing to sail a Sunfish across Broken Arrow and wouldn't think twice about it. So, you can do it.