I think if anyone wants to "quickly" catch up in gear, the best and most boring way is like what I told Draegan - hit up LFR but then sit in Ashran for 16 hours to cap out on CQ points. It might even take longer than 16 hours, I'm not even sure. The 660 gear you get there is really good, it's not like PVP gear from before with those shitty stats like resilience or pvp power. You can easily get your weapon(s), and other big pieces of armor in one week.
For LFR, I would recommend you both queue and just do it together. I don't know your experience with it, but organizing something with the group is probably not even worth the time it takes. It's actually easier than regular normal dungeons and takes about 1 hour tops for all 7 bosses. I'm fairly confident you can show up, run in circles and collect loot. Some people wipe on the last boss, but the mechanics are fairly unforgiving even on LFR so it's expected. I can't stress how ridiculously easy it is. It forms the group for you and sets up loot rules and you just go - no strategy needed.
To answer the healer question, paladins are amazing healers right now, and druids are as well (I think your husband is a druid).
If anyone truly wants to join us on saturday mornings and feels a bit behind, I'll do everything I can to help you gear up. I don't have a lot of playtime, and it's sporadic, but I am willing to do what I can. I could attempt to run a HM Normal after BRF on saturday, but I have a feeling people are going to want to stay later working on BRF and we won't have much time. Could see what happens though. Know that right now we have two solid tanks (the max for a raid) and one on backup, so it would be advisable to spec DPS/heals. If you wanted to be a backup tank we can arrange that too, but it won't be as easy to gear up unless you sacrifice your loot spec.