Rusty , you can only use check back stayman when a majorsuit is done.
so in this case (1cl...1dia...2NT ) you cannot.
I agree PK who said :"I rather bid 1 heart than 2 NT .",neglecting two major suits((
the hand has almost all points in the majors , so I dislike a 2NT bid with only
3 small clubs.
the responder can bid 3 h after the 2 NT bid , but it suggest a longer diasuit
and " sounds "as a reversebid........., but maybe better then 3 NT.
may I introduce to you my acol system ? ( of course only for perusal)
people who do not like it , no need to read !
In acol system you can agree the opening of 1 heart can be 5+ crd , or 4/4 in the majors. When rebid is 2 cl or 2 dia you accentuate that first suit is longer so heart must be 5 crd. When responder bid : 1 sp , no problem to raise the spade suit,when opening 4/4 major.So if opener bid 1 NT after answer of 1 spade , you can be sure hearts are 5.
The principle of the acol system is :
longest suit first .
with 2 or 3 "4crd's " open lowest
with 2 "5 crd' s" open highest
balanced hands
opening 1 in suit , rebid 1 nt=13/14
" 1 in suit , rebid 2 nt= 18/19
balanced hands
opening 1 nt=15/17................................................. transfer and stayman
" 2 nt= 20/21.................................. " " (puppet stayman)
" 2 cl.(relay 2dia) rebid 2 NT = 22/23................same as after 2NT
" 2 dia (relay 2 h) " " = 24/25....................." " "
also possible to open 2 cl rebid 3 NT=26/27
" " " " 2dia " " = 28 +
the 2cl opening( 2 dia relay) is " 2way ",can be also a strong 1 suiter sf.,game-1(0r game-the rebid will tell)
the 2 dia opening ( 2h relay) is a "2way " opening. GF, 2 long suits ,the responder can relay P s hand.(also a 4.4.4.1 GF hand included)
for balanced hands you need 13 + points (in 3third hand 12+)
for unbalanced hands you look more for tricks than points.!!
so can be a little less.