bugsy, this has all happened so quickly. You first posted here just a week ago. You must be reeling from the shock. I am really sorry to hear your news and was thinking of you on valentines day and over the weekend.
I don't know what to advise you - but I do know how ANGRY I would be at the lies you have been told - I would be running through that confrontation on Friday again and again in my head. For me, it would be the lies almost as much as the act itself that would anger me. No wonder you feel that you don't want your dh to touch you. Anger is, ime, a huge anti aphrodisiac.
I have stayed with a boyfriend who was unfaithful to me, and we did resume a physical relationship after I no longer felt so angry with him, but things were never the same for ages. For a good year I acted out of character, made myself as unlovable as I could, tested him, made him do all the running, until I was absolutely sure he would not stray. I knew exactly what I was doing, (couldn't stop myself doing it) so did my boyfriend, and he stuck with it until it was out of my system. He was living with me, we had no children, so I could pop in and out of his social life as I pleased, just to make sure there were no secrets. I did build up trust again in him but it took lots of time. We parted in the end, but not because of his affair. I don't know how I would have managed if I had two children and my partner was working abroad, socially out of reach for long lengths of time.
Someone warned against telling too many friends of this, because of the 'I never liked him anyway' responses - and what happens if you both stay together. I second this advice - I found it hurtful to hear good friends trash my boyfriend, even if they were doing it to shore me up. In some ways it released tension but it also added more negativity to everything and made me feel I was no good at picking a nice man. I felt much better confiding in those friends who could still see some good in my boyfriend amidst the sympathy they gave me, and were positive about our past relationship. Hope you find a good counsellor too. I have no experience of this so can't add more.
I suppose one obvious thing you must have looked at is whether your dh could leave his job or change his work pattern so he travels abroad a lot less. Now the cards are on the table, could you insist your dh finds a way to work in this country? If this is what you want, you have a very good reason for making this a condition of him staying with you. Or indeed any other major change that keeps you all together on your terms.
Sorry it this is way off tangent, since I am speaking from my own experience only, but IMO it is no good your dh thinking that a couple of months of treading on eggshells, and a few counselling sessions and romantic meals out is all that is needed to make things work again. Don't let him believe this and don't believe it yourself.
Hope you get lots of love from your chldren this week and lots of support from the friends you confide in.