I recently played a game against a strong player, he blundered an early pawn in the opening leaving me with a material advantage but severely underdeveloped. After a few inaccuracies I was left with a terribly inflexible position and a draw offer on the table. What should I do?

At first glance, d4 sounds fine. Then you put your Bishop on e7, and then f6. If he accept the trade, you 0-0, and should have a fine game.

But after d4, I can't get bishop on e7 because I lose the pawn on g7 

Well if he doesn't move his queen, you trade then play f6. If he plays Rd1 after d4, you're going to lose a pawn and get even on materials. I'd still play it, cause endgame is the best part of chess :)

As Dr. Tarrasch once said, "a pawn is a pawn" (actually, "Ein pfand ist ein pfand"). I would consider playing on, although White certainly has some compensation.

BTW: I think you would be happier if you'd played 16...Rc8

When winning material, you often lose time. Like in this example you play Nxe5 followed by Nc6. IT's all worth it of course, but it means your pieces are underdeveloped. So developing your pieces should be priority. If you think that way: 13. ..a6 doesn't make a lot of sense. In stead you could have played 13. .. Be7 developing your Bishop.

Similar logic applies at move 16. Why is it so important to move the queen from d8 to c7? It makes more sense to play 16. ..Rc8 devloping the rook and pressuring the c-file. After c3 you can consider playing Rc4 followed by Bd6 or Qc7 depending on what he does. 

The same mistaske agaion on move 18. Whats the point os Qc4 -Qc5? Is the queen really better placed on c5? And if yes, is it really worth a tempo? 

This looks like a big leak in your game: you are not looking for ways to develop your pieces, which should actually be one of your highest priorities in most positions. 

As to the actual qwuestion: at move 22 you can go for 22. .. d4 or even play 22. .. Rg8 followed by 23. .. Bd6. The last line will develop yuor pieces quickly. Although your king will not feel entirely safe, that is still hte line I prefer.

If you're happy with your skill, then take the draw.  If you consider yourself improving, play on and you'll undoubtedly learn something.

If I were white, I'd be looking at c4 probably, so whatever move you decide should keep that in mind.

So for black to move, I'm looking at moves like b5 and Qe7.

For your move 21 you can consider Qb4.

d4 seems temporary, the pawn is positionally annoying for black on d4, I don't see a natural followup.

I find that drinking at least 4 glasses of red wine every day helps me maintain a fluid position

I would definately agree with you, in hindsight I moved my queen far too much rather than developing my Queen's rook. 

As for the move that I actually played, 22. ... Rg8 was what I played. This developed my bishop quickly and despite running into some trouble with my king I ended up with the advantage - but in the end I was under time pressure and had to settle for a drawn game from perpetual check.