Hermit, you have received a ton of good advice especially from Maine Sail. I think taking a Catalina 30 to the Bahamas is very doable if you are prudent, prepare your boat properly, watch your weather windows and don't take chances. The offshore part could be as little as a 100 miles so you can expect to get a reliable forecast.
That being said, in no way is a Catalina 30 a bluewater offshore boat. Some of the advice on here will get you killed if you get caught offshore in a gale. Having experienced 3 days of 35-58knot winds, 20-30 confused waves 350 miles off of the east coast of Florida in a 55 foot aluminum purpose built offshore longidstance cruising boat, there is no way that we could have survived in a production boat. The boat in question had a pilothouse, offshore liferaft, 2 epirbs, radar, 2 under deck hydraulic autopilots, SSB, weatherfax, satphone, and electronic charting. The construction of the boat included welded watertight bulkheads, crash bulkheads, ring frames, and twin I beam longitudinal stringers. The boat weighed 32,000 lb including a 10.5foot lifting keel with a 12,000 lead bulb.
Things I learned from the experience-
1.freefalling off a 20 foot wave is really tough on a boat but even tougher on the crew. Falling off waves for 3 days is being in side a 55 gallon drum rolling down a very rough an steep hill. Simple things like eating, sleeping, and releiving yourself are extremely taxing.
2. Having a properly constructed pilothouse is wonderful. Not getting hammered much less swept off the boat by very large waves is nice. A dodger would have been ripped off in the first hour of the storm.
3. Everything must be bolted down. We had 3 crew and all of us were airborne inside the boat at some time. Thankfully the head door I crashed through had breakway hinges.
4. A reliable engine is a must. I can't imagine trying to sail, with the wind over 50 kots in those waves. Having 200 gallons of fuel in 3 tanks with a transfer system is nice also.It would have been almost suicidal to go on deck in those conditions.
5. Proper yacht design is there for a reason. When the occasional rogue wave would knock us over we skidded down the rather large waves without tripping. Nice not to roll over when the next wave sometimes would hit us in the trough.
6. Trust your weather router. Offshore you can get accurate weather routing for free from Herb (SouthboundII) on a SSB. Our skipper went against his advice and it almost cost us. Some friends left the Virgins 2 days later in a 46foot Ericson and caught a 1/2 day of the storm. They lost their dodger, bimini, had 2 hurt crew including broken bones. The nav station ripped from the bulkhead, every bulkhead was broken and the cabin sole was floating free. The boat limped in a week later than us and was written off at the dock by the insurance adjuster.
7. Heaving-to or dragging a drogue is not going to save you in these conditions. As others have stated it is not the wind it is the waves. We ran with the storm which most likely was a mistake because it caused us to stay in the storm for 3 days. We motored at 7-8 knots (boat cruise speed of 9-1/2 to 10) to keep somewhat in syc with wave speed. Storm was moving at 10-15 knots. Ain't no way you are going to heave to when every 10-12th wave is from an angle 20-40 degrees off the others. The waves we saw were off the aft quarter but there were rogues that would break over the boat forward of the beam!
In summation, going to the Bahamas can be nothing more than a series of coastal cruises with one 90 mile passage if you play it right. Truly going offshore is a different thing altogether especially in the Atlantic. When you are 4 days out and 3 low pressure systems unexpectedly join together as they come off the east coast you are screwed unless you are prepared in a proper offfshore boat. Even then it is dicey. BTW, the CG only comes out 250 miles, not much help when your 350 miles offshore.
Good luck on your trip and enjoy the weather in the Bahamas. PS- The Bahamas are not American controlled as you mentioned earlier.