I use my 3 wood off the tee all the time. Short par 4's, doglegs or simply when your driver is our of control.
I can hit my 3 wood about 230 or a tee
I carry a 5 wood for 2 reasons
1-to cover distance gap of around 215 (for Short par 4's, long par 3's, doglegs or simply when your driver is our of control.)
2- I got it for free when I purchased my driver.
That being said I have had the same issue with wanting to drop woods and add hybrids.
All I can say is a 3...